SOLVING RATIONAL INEQUALITIES WORKSHEET

Questions :

1)  (x - 7)/(x - 1) < 0

2)  (x + 5)/(x - 4) ≤ 0

3)  (x + 32)/(x + 6) ≤ 3

4)  (x + 68)/(x + 8) ≥ 5

5) (x + 3) (x + 5)/(x + 2) ≥ 0

Solution

6) (x + 6) / (x² - 5x - 24) ≥ 0

7) -10/(x - 5) ≥ -11/(x - 6)

8) -3/(x + 7) ≤ -4/(x + 8)

9) -7/(x + 5) ≤ -8/(x + 6)

10) (x + 7)(x - 3)/(x - 5)² >0

Solution

Answers :

1)  1 < x < 7

2)  -5 ≤ x < 4

3)  x ≤ -6 or x > 7

4)  -8 < x ≤ 7

5)  -5 ≤ x ≤ -3 or x > -2

Solution

6)  -6 ≤ x < -3 (or) x > 8

7)  - 5 ≤ x < 5 or x > 6

8)  x < -8 (or) -7 < x ≤ -4

9)  x < -6 (or) -5 < x ≤ 2

10) x < -7 (or) 3 < x < 5 (or) x > 5

Solution