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WorksheetsCompound Inequalities
Total questions: 21
Worksheet time: 29mins
Name
Class
Date
1.
To solve x + 1 ≥ 3, what is the first step?
a)
add one to both sides
b)
subtract one from both sides
c)
add 3 to both sides
d)
subtract 3 from both side
2.
Check your work
a)
click here to continue
b)
-
3.
To solve 4/3 x < -8, what should we do?
a)
add 8 to both sides
b)
divide by -8
c)
multiply by 3 and divide by 4
d)
multiply by 4 and divide by 3
4.
Check your work
a)
Click to continue
b)
-
5.
Check your work
a)
Click to continue
b)
-
6.
Graph x ≥ 2 or x < -6
a)
Graphed it
b)
I give up
7.
Give the Interval Notation for the graph
a)
(-∞,-6) or [2, ∞)
b)
(∞, 2) or (-6, ∞)
8.
To solve 4x - 10 ≥ 22, what should you do?
a)
Add 10, then divide by 4
b)
Add 22, then divide by 4
c)
Subtract 10, then divide by 4
d)
Add 10, then multiply by 4
9.
Check your work
a)
click here to continue
b)
-
10.
To solve x - 5 < -6, what do you have to do?
a)
Subtract 5 from both sides
b)
Add 5 to both sides
11.
Check your work
a)
Click to continue
b)
-
12.
Graph x ≥ 8 or x < 1
a)
I graphed it
b)
I can't do it
13.
Write in interval notation
a)
(-∞ , -1) or [8 , ∞)
b)
(-∞ , 8) or [-1, ∞)
14.
3. 9 - 2x ≤ -5 or ½x + 13 < 15
a)
x ≥ 7 or x < 4
b)
check your work
15.
4. 5x + 2 ≥ 37 or -7 - x > -2
a)
x ≥ 7 or x < -5
b)
check your work
16.
5. 2x - 5 > -11 or -10x - 6 ≥ 44
a)
x > -3 or x ≤ -5
b)
check your work
17.
6. -24 ≤ 2x - 10 < -6
a)
-7 ≤ x < 2
b)
check your work
18.
7. -53 < 9x + 1 < -26
a)
-6 < x < -3
b)
check your work
19.
8. -47 > 1 - 8x ≥ -63
a)
6 < x ≤ 8
b)
check your answer
20.
9. -57 ≤ 3(3x - 4) < 24
a)
-5 ≤ x < 4
b)
check your work
21.
10. -39 ≤ ½(10x - 18) ≤ 16
a)
-6 ≤ x ≤ 5
b)
check your answer
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