One Step Inequalities
Multi-Step Inequalities
Draw the Number Line
Interval Notation
Compound Inequalities
100

7 - x < 4

What is x > 3

100

2x + 5 > 15

What is x > 5

100

What kind of line would you draw if you had the following: x ≤ 6

Closed Dot at 6, going to the Left

100

What is the interval notation for the inequality below: x + 2 > -4

(-6,infinity)

100

-6x - 21 > 3  OR  2x - 4 >= -2

x < -4  OR  x >= 1

200

5x > 25

What is x > 5

200

x + 18 > 36

What is x < 18

200

What kind of line would you draw if you had the following: x > -9 

Open Dot at 9

200

What is the interval notation for the following inequality: 7a + 11 >= -1 + 4a

[-4, infinity)
200

-a < -2  OR  -4a + 3 >= 23

a > 2  OR  a <= -5

300

20 ≥  4x

What is x ≥  5

300

-3x + 7 ≥  19

What is x ≤ -4

300

What kind of line would you draw if you had the following: x ≤ -4

Closed Dot at -4, going to the Left

300

What is the interval notation for the following inequality: 5x + 1 > 7x - 17

(-infinity,9)

300

10x - 9 > -59  AND  x - 6 <= 3

x > -5  AND  x <= 9  

also written as -5 < x <= 9 

400

 - x < 7

What is x > - 7

400

4h + 4 + 2(h+8) < 6h + 10 -12

20 < -2 False, No Solution 

400

What kind of line would you draw if you had the following: 1< x 

Open Dot at 1, going to the Right

400

What is the interval notation for the following inequality: -2x - 7 > 1  OR  x - 2 >= -1

(-infinity, 4) U [1, infinity)

400

17 > 2 - 3x  AND  7 - 6x > -17

-5 < x  AND  x < 4

also written as -5 < x < 4

500

1/3x ≤ 25

What is x ≤ 75

500

6 (3 + x) ≤ 3 (x + 5)

x ≤ -1

500

What kind of line would you draw if you had the following: 37 ≥ x

Closed Dot at 37, going to the Left

500

What is the interval notation for the following inequality: -13 <= 3 + 8x   AND   4 + 16 x <= 20 

[-2,1]

500

9 >= 9 - x > 3 (written in condensed form)

0 <= x < 6

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