Free Printable P9 Inequalities

1.

If the inequality was placed in interval notation it would be represented by $-8\le x<10$

a)

b)

c)

d)

2.

What is the greatest integer that satisfies the following inequality?

-5x+2<42

a)

-7

b)

-9

c)

-8

d)

no solution

3.

$x\ge-2$

Which value of x is NOT in the solution set?

a)

$-2$

b)

$-6$

c)

$-1$

d)

$0$

4.

Write the following solution in set builder notation:

y > 10

a)

{ y > 10 }

b)

{ y | y > 10 }

c)

{ y | y < 10 }

d)

( -0, 10 )

5.

When writing a solution in interval notation, what symbols are used when the problem involves > or < ?

a)

[ ]

b)

( )

6.

When writing in interval notation, what symbols are used when a problem that involves ≤ or ≥ ?

a)

[ ]

b)

( )

7.

Write the following solution in interval notation:

x ≥ -3

a)

[ -3, ∞ )

b)

( -3, ∞ )

c)

( -∞ , -3 )

d)

( -∞ , -3]

8.

Write the following solution in interval notation:

z < 20

a)

( -∞ , 20 )

b)

( 20,∞)

c)

( -∞ , 20)

d)

( -∞ , 20]

9.

Write the following solution in interval notation:

x ≥ 6

a)

( -∾ , 6]

b)

( -∾ , 6 )

c)

( 6, ∾ )

d)

[ 6, ∾ )

10.

Express the following interval in Set notation:
(-7, 15]

a)

-7 ≤ x ≤ 15

b)

-7 < x ≤ 15

c)

-7 ≤ x < 15

d)

-7 < x < 15

11.

Look at the picture. Select the correct interval notation for the given number line.

a)

(-∞, -8) U (-4, ∞)

b)

(-∞, -8] U [-4, ∞)

c)

(-8, -4)

d)

[-8, -4]

12.

Look at the picture. Which number line corresponds to [-2, 5]?

a)

Graph 1

b)

Graph 2

c)

Graph 3

d)

Graph 4

13.

Write the following in interval notation

x < 3 or x ≥ 5

a)

(3, -∞) U (∞, 5]

b)

[-∞, 3) U [5, ∞]

c)

(-∞, 3) U [5, ∞)

d)

(3, -∞] U [∞, 5]

e)

(3, -∞] U [5, ∞]

14.

-138 ≥ -6(6b − 7)

a)

b ≤ 5

b)

b ≤ -5

c)

b ≥ 5

d)

b ≥ -5

15.

Postage on a certain envelope costs $2.70 for the first 3 oz and then $0.55 for each oz after that. Use an inequality to find the most number of ounces one can mail in this envelope for $7

a)

6

b)

9

c)

3

d)

10

16.

Solve $-11<-3\ -\ 2x\ \le-5$

a)

[1,4)

b)

(1, 4]

c)

(4,1]

d)

[4,1)

17.

$F=\ \frac{9}{5}C+32$

The formula for convertin Celsius temperture, C, to Fahrenheit temperture, F, is given above. If Fahrenheit temperature ranges from 14 to 68 degrees, inclusive, what is the range for the Celsius temperatures?

a)

[-10, 20]

b)

[-18, 36]

c)

[-0.4, 0.8]

d)

(-10, 20)

18.

a)

no solution

b)

a> -1/6 or a< -5/6

c)

a>1/2 or a< -3/2

d)

all real numbers

19.

3 | d + 1 | - 7 ≥ -1

a)

No Solution

b)

All Real Numbers

c)

d ≤ -3 or d ≥ 1

d)

-1 < d < 3

20.

|-9v| < 54

a)

-6<v<6

b)

v<-6 or v>6

c)

v=6 or v=-6

d)

-6>v<6

21.

What is the correct first step?

a)

divide by 10

b)

multiply by 10

c)

make it two inequalities with an "or"

d)

make it two inequalities with and "and

22.

Solve:

3|2x+7|-7<-4

a)

$-\frac{5}{3}<x<-3$

b)

$-4<x<-3$

c)

$3<x<4$

d)

no solution

e)

all real numbers

P9 Inequalities

Total questions: 22

Worksheet time: 2hrs 31mins

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