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A1-CHAPTER 2 TEST 2025-26

Total questions: 189

Worksheet time: 12hrs 5mins

Name
Class
Date
1.
x − 4 ≤ 6
a)
x ≤ 10
b)
x ≥ 10 
c)
x ≥ 2
d)
x ≤ 2
2.
y + 7 ≥ 12
a)
y ≥ 5
b)
y ≤ 5 
c)
y ≥ 19 
d)
y ≤ 19
3.
How would you solve this inequality?
m - 9 ≤ 20
a)
By adding 20 to both sides
b)
By subtracting 9 to both sides
c)
By adding 9 to both sides
d)
By subtracting 20 to both sides
4.
28 > m - 4
a)
m < 32
b)
m > 32
c)
m < 24
d)
m > 24
5.
-4 + y < -8
a)
y < 4
b)
y < -12
c)
y < -4
d)
y < 12
6.
y - 13 ≤ -15
a)
y ≤ 2
b)
y ≤ -2
c)
y ≤ 28
d)
y ≤ -28
7.
x + 9 = 14
a)
x = 6
b)
x = -6
c)
x = 23
d)
x = 5
8.

Solve

-4 + y < -8

a)

y < 4

b)

y < -12

c)

y < -4

d)

y < 12

9.

Solve

23 < f + 12

a)

f > 11

b)

f > 35

c)

f < 35

d)

f < 11

10.
x + 5 > 7
a)
x > -2
b)
x > 2
c)
x > 12
d)
x > -12
11.
r - 14 ≥ 17
a)
r ≥ 3
b)
r ≥ -31
c)
r ≥ 31
d)
r ≥ -3
12.
24 ≤ h + 15
a)
h ≥ -9
b)
h ≥ 9
c)
h ≤ 9
d)
h ≤ 39
13.
w + 4 ≤ -5
a)
w ≤ -9 
b)
w ≥ -9
c)
w ≤ -1 
d)
w ≥ -1
14.

Solve

-4 + y < -8

a)

y < 4

b)

y < -12

c)

y < -4

d)

y < 12

15.

23 < f + 12

a)

f > 11

b)

f > 35

c)

f < 35

d)

f < 11

16.
Solve the inequality
x - 2 < 5
a)
x < 3
b)
x ≥ 7
c)
x < 7
d)
x ≤ 7
17.
s + 9 ≥ -25
a)
s ≥ -18
b)
s ≥ -34
c)
s ≤ 18
d)
s ≥ 34
18.
Solve the inequality.
x + 5 ≤ 13
a)
x ≥ 8
b)
x ≥ 18
c)
x ≤ 8 
d)
x ≤ 18 
19.
x + 5 > 7
a)
x > -2
b)
x > 2
c)
x > 12
d)
x > -12
20.
Does the sign need to flip when solving?
8y < (-40)
a)
YES
b)
NO
21.
Solve 
-9h > (-63)
a)
h < 7
b)
h > 7
c)
h < -7
d)
h > -7
22.
Solve
-5m < 10
a)
m < -2
b)
m > -2
c)
m < -50
d)
m > -50
23.
-8x < 48
a)
x < -6
b)
x > -6
c)
x < 6
d)
x > 6
24.

SOLVE: N3>20SOLVE:\ \frac{N}{3}>-20

a)

n > 60

b)

n < -17

c)

n > -60

d)

n < -23

25.

 SOLVE:   b2<7\ SOLVE:\ \ \ \frac{b}{2}<7

a)

b < 14

b)

b < 3.5

c)

b < 5

26.

SOLVE:     2N3SOLVE:\ \ \ \ \ -2\ge\frac{N}{-3}  

a)

n ≤ 1

b)

n ≥ 6

c)

n ≥ 2/3

27.
8x < 48
a)
x < -6
b)
x > -6
c)
x < 6
d)
x > 6
28.
r5 -15 = 18
a)
115
b)
15
c)
165
d)
35
29.
Do I need to flip my sign?
-3x  ≥ 12
a)
Yes
b)
No
30.
Solve
a)
z≤1
b)
z>9
c)
z≤9
d)
z<9
31.

-3x ≤ 18

a)

x ≤ -6

b)

x ≤ 6

c)

x ≥ 6

d)

x ≥ -6

32.

h7< 5\frac{h}{7}<\ 5  

a)

h < 35

b)

h < 0.71

c)

h > 35

d)

h > 0.71

33.

Pick the correct solution:

a)

n ≥ -55

b)

n ≥ -65

c)

n ≥ -300

d)

n ≥ -12

34.

Pick the correct work:

a)

Add 3 to both sides

b)

Subtract 3 to both sides

c)

Multiply -3 to both sides

d)

Divide -3 to both sides

35.

Pick the correct solution:

a)

r > -10

b)

r > -33

c)

r < -27

d)

r ≤ -10

36.

Pick the correct work:

a)

Add 4 to both sides

b)

Subtract 4 to both sides

c)

Multiply 4 to both sides

d)

Divide 4 to both sides

37.

Pick the correct solution:

a)

n ≤ -10

b)

n ≤ -18

c)

n ≤ -56

d)

n ≤ -3

38.
16 - 4a > 8
a)
a<-2
b)
a>-2
c)
a<2
d)
a>2
39.
Pick the correct letter for:
6 > x
a)
A
b)
B
c)
C
d)
D
40.
22 < 6c + 4
a)
11>c
b)
3>c
c)
11<c
d)
3<c
41.
Do I need to flip my sign?
-3x  ≥ 12
a)
Yes
b)
No
42.
Do I need to flip my sign?
3x  ≥ 12
a)
Yes
b)
No
43.
When graphing b < 6 would you use an open or closed circle?
a)
Open
b)
closed
44.
Solve and graph the inequality.
7n - 1 > 76
a)
A
b)
B
c)
C
d)
D
45.
5x < 5
a)
x < 1
b)
x > 1
c)
x > 0
d)
x < 25
46.
- x / 5 > -20
a)
x > 100
b)
x < 100
c)
x > 4
d)
x > -4 
47.

Last Friday Samantha had $22.50. Over the weekend, she received some money for cleaning. She now has more than $32.00. Which inequality represents this situation?

a)

22.50 - x > 32

b)

22.50x > 32

c)

22.50 + x > 32

d)

22.50 +x < 32

48.
-3x − 4 < 5
a)
x > -3
b)
x < -3
c)
x < (1 ⁄ 3)
d)
x > (1 ⁄ 3)
49.
Solve for k. 

7k 
– 
2 ≥ -9
a)
k ≤ -1
b)
k≤1
c)
k≥1
d)
k ≥ -1
50.
Solve for k.
2k - 9≤ -19
a)
k ≤ -5
b)
k ≤ 5
c)
k < -5
d)
k < 5
51.
Solve the inequality.
-3w - 2 < -17
a)
w < 7.67
b)
w > 5
c)
w < 5
d)
w < 6.33
52.
Solve and graph the inequality.
77 ≤ 5 + 8n
a)
A
b)
B
c)
C
d)
D
53.
Pick the correct inequality.
a)
A
b)
B
c)
C
d)
D
54.
25 < X - 10
a)
X > 35
b)
X < 35
c)
X > -35
d)
X < -35
55.

When you graph an inequality, you use a closed dot when you use which symbols?

a)

≤, ≥

b)

<, >

56.
When graphing an inequality, you use an open dot when you use which symbol?
a)
<, >
b)
≤, ≥ 
57.
2- 3x ≤ 20
a)
≥ -6
b)
≤ -6
c)
≤ -7
d)
≥ -7
58.
When graphing b < 6 would you use an open or closed circle?
a)
Open
b)
closed
59.
Solve and graph the inequality.
7n - 1 > 76
a)
A
b)
B
c)
C
d)
D
60.
Pick the correct inequality.
a)
A
b)
B
c)
C
d)
D
61.
Match the graph with its inequality.
a)
a < 11
b)
a > 11
c)
a ≤ 11
d)
 a ≥ 11
62.
Pick the correct letter for:
6 > x
a)
A
b)
B
c)
C
d)
D
63.
-3x − 4 < 5
a)
x > -3
b)
x < -3
c)
x < (1 ⁄ 3)
d)
x > (1 ⁄ 3)
64.
Solve and graph the inequality.
77 ≤ 5 + 8n
a)
A
b)
B
c)
C
d)
D
65.
Solve and graph the inequality.
-169 ≤ 8m - 9
a)
A
b)
B
c)
C
d)
D
66.
Solve and graph the inequality.
-3 ≥ (n/3) - 7
a)
A
b)
B
c)
C
d)
D
67.
Solve and graph the inequality.
7n - 1 > 76
a)
A
b)
B
c)
C
d)
D
68.
Which number line shows the solution to:
11
x + 14 < –8? 
a)
a
b)
b
c)
c
d)
d
69.
Pick the correct letter for:
6 > x
a)
A
b)
B
c)
C
d)
D
70.
Solve and graph the inequality.
77 ≤ 5 + 8n
a)
A
b)
B
c)
C
d)
D
71.
Solve and graph the inequality.
-169 ≤ 8m - 9
a)
A
b)
B
c)
C
d)
D
72.

Graph the Inequality

-6p + 5 > 41

a)
A
b)
B
c)
C
d)
D
73.
Match the graph with its inequality.
a)
11 < a
b)
11 > a
c)
 11 ≤ a
d)
 11 ≥ a
74.
You flip an inequality symbol when you...
a)
subtract
b)
multiply and divide only
c)
multiple by a negative number
d)
multiple or divide by a negative number
75.
Pick the correct letter for:
6 > x
a)
A
b)
B
c)
C
d)
D
76.

Which number line matches X  4X\ \ge\ 4  ?

a)
b)
c)
d)
77.
Pick the correct inequality.
a)
A
b)
B
c)
C
d)
D
78.

Which graph matches the inequality

r ≥ -6?

a)

A

b)

B

c)

C

d)

D

79.
Solve and graph the inequality.
77 ≤ 5 + 8n
a)
A
b)
B
c)
C
d)
D
80.
Which graph matches the inequality
-2 ≥ n?
a)
A
b)
B
c)
C
d)
D
81.

Solve the inequality

a)

x<6x<-6

b)

x6x\le-6

c)

x6x\ge-6

d)

x>6x>-6

82.

Solve the inequality

a)

x>17x>17  

b)

x>17x>-17  

c)

x<17x<-17  

d)

x>17x>-17  

83.

Solve the inequality

a)

y17y\ge17  

b)

y17y\ge-17  

c)

y17y\le-17  

d)

y17y\le17  

84.
a)
b)
c)
d)
85.
a)
b)
c)
d)
86.
Solve and graph the inequality.
-176 > 9v - 5
a)
A
b)
B
c)
C
d)
D
87.
22 < 6c + 4
a)
11>c
b)
3>c
c)
11<c
d)
3<c
88.
-9a - 1 < 26
a)
a < -3
b)
a < 3
c)
a > -3
d)
a > 3
89.
a)

x < -20

b)

x > -20

c)

x > 20

d)

x < 20

90.
Do I need to flip my sign?
-3x  ≥ 12
a)
Yes
b)
No
91.
2- 3x ≤ 20
a)
≥ -6
b)
≤ -6
c)
≤ -7
d)
≥ -7
92.
-4x + 14 ≤ 54
a)
x ≥ - 10
b)
x ≤ -10
c)
x ≥ 10
d)
x ≤ 10
93.
Solve the inequality. Don't forget to check your solution set.
12 ≥ 15 - 6y
a)
y ≤ ½
b)
y ≤ 2
c)
y ≥ ½
d)
y ≥ 2
94.
Solve:
6x+10>5x-12
a)
x>2
b)
x<2
c)
x<-22
d)
x>-22
95.
Solve:
3(x - 2) < 2(x + 9)
a)
x<24
b)
x>12
c)
x<12
d)
x>24
96.
Solve:
4(2a + 3) < 3(a - 1)
a)
a<-3
b)
a>-3
c)
a<3
d)
a>3
97.
a)
a ≥ 4
b)
a ≥ -4
c)
a ≤ 4
d)
a ≤ -4
98.
You want to spend at most $1200 on a new laptop.  If you make a $400 down payment, then pay the same amount every month for 12 months.  Which Inequality could be use to solve to find out how much you can pay each month.
a)
12x + 1200 > 400
b)
12x + 400 < 1200
c)
12x + 400 > 1200
d)
12x + 400 < 1200
99.
9 ≥ -2m + 2 − 3
a)
m ≤ 5
b)
m ≤ -5
c)
m ≥ -5
d)
m ≥ 5
100.
-3 − 6(4x + 6) > -111
a)
x > 3
b)
x < 3
c)
x < -3
d)
x > -3
101.
-p − 4p > -10
a)
p > -2
b)
p > 2
c)
p < -2
d)
p < 2
102.

There are no more than 18 students on the hall.

a)

s>18

b)

s<18

c)

s≤18

d)

s≥18

103.
My sister plans to sell more than 250 boxes of cookies.
a)
c>250
b)
c<250
c)
c≤250
d)
c≥250
104.
Which graph matches the inequality
k < 3?
a)
A
b)
B
c)
C
d)
D
105.
Which graph matches the inequality
-2 ≥ n?
a)
A
b)
B
c)
C
d)
D
106.
Which graph matches the inequality
r ≥ -6?
a)
A
b)
B
c)
C
d)
D
107.
Which inequality matches the graph?
a)
A
b)
B
c)
C
d)
D
108.
When graphing b< 6 would you use an open or closed circle?
a)
Open
b)
closed
109.
Cell plan A is $40 plus $.04 each text
Cell plan B is $30 plus $.09 each text
Write an inequality that shows when plan A is greater that plan B
a)
40 + .04x > 30 + .09x
b)
40 + .04x < 30 + .09x
c)
40 + .04 > 30 + .09
d)
40 + .04 < 30 + .09
110.
Sue's lunch account has $25 and she spends $2.50 every day. Troy's lunch account has $50 and she spends $3.25 every day. Write an inequality that shows when Sue's account will be more than Troy's.
a)
25 - 2.5d > 50 - 3.25d
b)
25 - 2.5d < 50 - 3.25d
c)
25 + 2.5d > 50 + 3.25d
d)
25 + 2.5d < 50 + 3.25d
111.
X is less than or equal to 24
a)
x > 24
b)
x < 24
c)
x ≤ 24
d)
x ≥ 24
112.
When you graph an inequality, you used a closed dot when you use which symbols?
a)
≤, ≥ 
b)
<, >
113.

Solve the inequality and graph its solution.

a)
b)
c)
d)
114.

Solve the inequality and graph its solution.

a)
b)
c)
d)
115.

Solve the inequality and graph its solution.

a)
b)
c)
d)
116.

Solve the inequality and graph its solution.

a)
b)
c)
d)
117.

Solve the inequality and graph its solution.

a)
b)
c)
d)
118.

Solve the inequality and graph its solution.

a)
b)
c)
d)
119.
Solve:
6x+10>5x-12
a)
x>2
b)
x<2
c)
x<-22
d)
x>-22
120.
-4x + 14 ≤ 54
a)
x ≥ - 10
b)
x ≤ -10
c)
x ≥ 10
d)
x ≤ 10
121.
a)
a ≥ 4
b)
a ≥ -4
c)
a ≤ 4
d)
a ≤ -4
122.
a − 6 ≤ 15 + 8a
a)
a ≤ -3
b)
a ≥ -3
c)
a ≤ 3
d)
a ≥ 3
123.

Solve:

-3 − 6(4x + 6) > -111

a)

x > 3

b)

x < 3

c)

x < -3

d)

x > -3

124.

5(2𝑥+2)+5x>15−5(2𝑥+2)+5x>15  

a)

x<5x<-5  

b)

x<5x<5  

c)

x>5x>5  

d)

x>5x>-5  

125.

5(2𝑥+2)+5x>15−5(2𝑥+2)+5x>15  

a)

x<5x<-5  

b)

x<5x<5  

c)

x>5x>5  

d)

x>5x>-5  

126.

Solve:

3(x - 2) < 2(x + 9)

a)

x<24

b)

x>12

c)

x<12

d)

x>24

127.
Write an inequality for Graph 3.
a)
x ≤ -2 AND x > 5
b)
x ≤ -2 OR x > 5
c)
x ≥ -2 OR x < 5
d)
-2 ≤ x < 5
128.
Write an inequality for Graph 4.
a)
-2 < x < 5
b)
x < -2 or x > 5
c)
x ≥ -2 OR x < 5
d)
-2 ≤ x ≤ 5
129.
What inequality is graphed?
a)
x > 2 and x < 4
b)
x ≥ 2 and x ≤ 4
c)
x > 2 or x < 4
d)
x ≥ 2 or x ≤ 4
130.
What inequality is graphed? 
a)
x > 2 and x ≤ -3
b)
x > 2 and x < -3
c)
x > 2 or x ≤ -3
d)
x > 2 or x < -3
131.

What word or phrase best describes the graph of an AND inequality?

a)

separate

b)

between

c)

not between

d)

annoying

132.

Which inequalities represent the graph?

_______ or _______

a)

x10x\ge-10

b)

x10x\le-10

c)

x>20x>20

d)

x<20x<20

e)

10x<20-10\le x<20

133.

Which graph represents  x4x\le-4  or  x>0x>0  ?

a)
b)
c)
d)
e)
134.

Which graph represents the compound inequality  5<x<15-5<x<15  ?

a)
b)
c)
d)
135.

Which graph matches the following "And" Compound Inequality

x>2 and x<3x>-2\ and\ x<3  

a)
b)
136.
Write an inequality for Graph 3.
a)
x ≤ -2 AND x > 5
b)
x ≤ -2 OR x > 5
c)
x ≥ -2 OR x < 5
d)
-2 ≤ x < 5
137.
Write an inequality for Graph 4.
a)
-2 < x < 5
b)
x < -2 or x > 5
c)
x ≥ -2 OR x < 5
d)
-2 ≤ x ≤ 5
138.

-2 < x - 9 < 3

a)

x < 12

b)

7 < x

c)

7 < x < 12

139.
Solve:  -3 ≤ 2x - 1 ≤ 5
a)
-1 ≤ x ≤ 3
b)
-1 < x < 3
c)
1 < x < 3
d)
1 ≤ x ≤ 3
140.
0 < x + 7 < 9
a)
-7<x   and   x<2
b)
-7<x   or   x<2
c)
-7>x   and   x>2
d)
-7>x  or   x>2
141.

−6 < 2t − 5 < 3

a)

−0.5 < t < 1

b)

0.5 < t < −1

c)

−11/2 < t < 2

d)

11/2 < t < −2

142.

2 < 3x - 12 < 5

a)

143 < x < 173\frac{14}{3}\ <\ x\ <\ \frac{17}{3}

b)

314 < x < 317\frac{3}{14}\ <\ x\ <\ \frac{3}{17}

c)

4 < x <34\ <\ x\ <3

d)

42 < x < 5142\ <\ x\ <\ 51

143.

Solve:

3x + 2 < -4 or 4x + 4 > 28

a)

x < -2 or x > 6

b)

x < 2 or x > 6

c)

x < -2 and x > 6

d)

x < 2 and x > 6

144.

Solve:

3x + 2 < -4 or 4x + 4 > 28

a)

x < -2 or x > 6

b)

x < 2 or x > 6

c)

x < -2 and x > 6

d)

x < 2 and x > 6

145.

Solve:

6x + 2 < -16 or -4x + 5 < 1

a)

x < -3 and x < 1

b)

x < -3 and x > 1

c)

x < -3 or x < 1

d)

x < -3 or x > 1

146.
x+2<-4 or -5x<-15
a)
-6<x<3
b)
x<-3 and x>6
c)
x<-6 or x>3
d)
No Solution
147.

104x52<20-10\le\frac{4x-5}{2}<20  

a)

3 34x<11 14-3\ \frac{3}{4}\le x<11\ \frac{1}{4}  

b)

3 34x<11 143\ \frac{3}{4}\le x<11\ \frac{1}{4}  

c)

3 34>x11 14-3\ \frac{3}{4}>x\ge11\ \frac{1}{4}  

d)

3 34x>11 143\ \frac{3}{4}\ge x>-11\ \frac{1}{4}  

148.

2(x1)10 or 4(x+2)20-2\left(x-1\right)\ge10\ or\ 4\left(x+2\right)\ge20  

a)

x4 or x3x\le4\ or\ x\ge-3  

b)

x<4 or x>3x<-4\ or\ x>3  

c)

x4 or x3x\ge-4\ or\ x\ge3  

d)

x4 or x3x\le-4\ or\ x\ge3  

149.

Solve

3x+144>3 or 32x5>3\frac{3x+1}{4}-4>3\ or\ \frac{3-2x}{5}>3  

a)

x< -6 or x>9

b)

-6< x < 9

c)

x< -4 or x>6

d)

x< -6 or x>6

150.

Solve

2d + 12<4 12-2\le d\ +\ \frac{1}{2}<4\ \frac{1}{2}  

a)

212d<42\frac{1}{2}\le d<4  

b)

212<d4-2\frac{1}{2}<d\le4  

c)

112d<4-1\frac{1}{2}\le d<4  

d)

212d<4-2\frac{1}{2}\le d<4  

151.

Solve

25x32-2\le\frac{5-x}{3}\le2  

a)

1<x101<x\le10  

b)

1x11-1\le x\le11  

c)

1<x<11-1<x<11  

d)

1x111\le x\le11  

152.
x + 8 < 3 or - 8x < -40 
a)
x > -5 or x < 5
b)
x < -5 and x > 5
c)
x < -5 or x > 5 
d)
x > -5 and x < 5 
153.

Give the solution set for: -13<2x+5<15

a)

-9>x>5

b)

-9<x<5

c)

-4<x<5

d)

-4>x>5

154.

Solve the following Compound Inequality 3x9 or 5+x<63x\ge9\ or\ 5+x<6

a)

x<1 or x3x<1\ or\ x\le3

b)



x<1 or x3x<1\ or\ x\ge3

c)

x<1 or x3x<1\ or\ x\ge-3

d)

x<1 or x3x<1\ or\ x\le-3

155.

Solve the following Compound Inequality 2x+9>17 or 5x+10<102x+9>17\ or\ 5x+10<10  

a)

x<0 or x<4x<0\ or\ x<4  

b)

x>0 or x>4x>0\ or\ x>4  

c)

x<0 or x>4x<0\ or\ x>4  

d)

x>0 or x<4x>0\ or\ x<4  

156.

Solve the following Compound Inequality 3(2x+1)<15 or 1x5-3\left(2x+1\right)<-15\ or\ 1-x\ge5  

a)

x2 or x4x\ge2\ or\ x\le-4  

b)

x4 or x>2x\le-4\ or\ x>2  

c)

x4 or x<2x\ge-4\ or\ x<2  

d)

x<4 or x>2x<-4\ or\ x>2  

157.

Solve the following "and" Compound Inequality

27<7x13<8-27<7x-13<8  

a)

x>2 and x<3x>-2\ and\ x<3  

b)

x<2 and x<3x<-2\ and\ x<3  

c)

x>2 and x>3x>-2\ and\ x>3  

d)

x>2 and x<3x>2\ and\ x<3  

158.

Solve the following the Compound Inequality 2<2(x6)4-2<2\left(x-6\right)\le4  

a)

5<x85<x\le8  

b)

5>x85>x\ge8  

c)

x<5 and x8x<5\ and\ x\ge8  

d)

x>5 and x8x>5\ and\ x\le8  

159.

CHOOSE BEST ANSWER

a)

A

b)

B

c)

C

d)

D

160.

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b)

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c)

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161.

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162.

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163.

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164.

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165.

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166.

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167.

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168.

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169.

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170.

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171.

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172.

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173.

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174.

CHOOSE BEST ANSWER

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175.

CHOOSE BEST ANSWER

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176.

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177.

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178.

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179.

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180.

CHOOSE BEST ANSWER

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181.

CHOOSE BEST ANSWER

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182.

CHOOSE BEST ANSWER

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b)

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c)

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183.

CHOOSE BEST ANSWER

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A

b)

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c)

C

d)

D

184.

Which graph represents the answer to the compound inequality: 

9<x10<5-9<x-10<5  ?

a)
b)
c)
185.

Which graph represents the answer to the compound inequality: 

50<7x+6<8-50<7x+6<-8  ?

a)
b)
186.

Which graph represents the answer to the compound inequality: 

2+r<122+r<12  or  r+5>19r+5>19  

a)
b)
c)
187.

Which graph represents the answer to the compound inequality: 

7x217x\ge21  or  2x22x\le-2  

a)
b)
c)
188.

Which graph represents the answer to the compound inequality: 

5x+2>27-5x+2>27  or  x3>2x-3>2  

a)
b)
c)
189.

Which graph represents the answer to the compound inequality: 

18<3x63-18<3x-6\le-3  

a)
b)
c)
d)
e)