SOLVING LINEAR INEQUALITIES IN ONE VARIABLE WORKSHEET

Solve each inequality.

Problem 1 :

4x - 1 ≥ 7

Solution

Problem 2 :

2(x – 5) ≤ 8

Solution

Problem 3 :

3 – 2x < x + 6

Solution

Problem 4 :

1/2x > 5

Solution

Problem 5 :

3(x + 4) > 12

Solution

Problem 6 :

2x – 7 ≤ 5 – 4x

Solution

Problem 7 :

3x + 2 < 11

Solution

Problem 8 :

4(x – 6) ≥ 20

Solution

Problem 9 :

1/4x < 2

Solution

Problem 10 :

12 – 3x > 2x + 1

Solution

Problem 11 :

(x – 5)/7 ≤ -3

Solution

Problem 12 :

3(5 – x) ≥ 7x - 1

Solution

Problem 13 :

3y – (2y + 2) ≤ 7

Solution

Problem 14 :

(m + 2)/5 < 2m/3

Solution

Problem 15 :

(m – 2)/3 ≥ (2m + 1)/7

Solution

Answer Key

1)  x ≥ 2

2)  x ≤ 9

3) x > -1

4)  x > 10

5)  x > 0

6)  x ≤ 2

7)  x < 3

8)  x ≥ 11

9)  x < 8

10)  x < 11/5

11)  x ≤ -16

12)  x ≤ 1.6

13)  y ≤ 9

14)  m > 6/7

15)  m ≥ 17

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