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Solving and Graphing Inequalities
Contributed by: Funicella

I expect number lines on your paper,

but there is no easy way to enter them here

Solve each inequality

Select the correct inequality and

enter the appropriate number

5(2x - 4) < 60

x
>
>
<

<

-6x - 1 > -67

x
>
>
<

<

2x - 5 + x - 3 > 106

x
>
>
<

<

-2(1 - x) > -16

x
>
>
<

<

2x + 33 < 5x + 6

x
>
>
<

<

10x + 45 < 5x + 155

x
>
>
<

<

7 - x > 4x + 27

x
>
>
<

<

  • 9. Which inequality suits the graph below?
A) x ≥ 7
B) x < 7
C) x > 7
D) x ≤ 7
  • 10. An open circle on the number indicates the number ________________ included in the set of solutions.
A) is
B) is not
  • 11. Which of the following symbols means greater than or equal to?
A) ≤
B) >
C) ≥
D) <
  • 12. Identify the appropriate symbol for the following situation: There are no more than 20 students in this class.
A) ≤
B) ≥
C) >
D) <
  • 13. Identify the appropriate symbol for the following situation: Sally needs to have more than 14 soar cards to attend the celebration.
A) >
B) ≤
C) ≥
D) <
  • 14. Which inequality suits the graph below?
A) x ≥ 10
B) x ≤ 10
C) x < 10
D) x > 10
  • 15. Which inequality suits the following situation: You must be at least 48 inches tall to ride the roller coaster.
A) x ≥ 48
B) x < 48
C) x ≤ 48
D) x > 48
  • 16. Identify the inequality to represent the following situation: You must way under 200 pounds to bungee jump.
A) x > 200
B) x ≤ 200
C) x < 200
D) x ≥ 200
  • 17. Which inequality suits the graph below?
A) w > 2
B) w < 2
C) w ≤ 2
D) w ≥ 2
  • 18. Which inequality suits the graph below?
A) y ≤ 13
B) y > 13
C) y < 13
D) y ≥ 13
x
≤
<
?
≥
-2
>
x
≤
?
≥
4
<
>
x
≤
<
?
≥
-4
>
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≤
>
?
≥
-4
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≤
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≥
2
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>
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≥
0
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≥
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-4
<
>
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≤
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≥
-2
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5
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3
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2
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4
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≤
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≥
-1
<
x
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≥
-3
<
>
x
≤
?
≥
1
<
>
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≤
>
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≥
-5
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x
≤
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3
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≥
0
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>
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≤
>
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≥
1
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