Question

Solve the inequality 3 + √(4a - 5) < 10 a. 1.25 < a < 13.5 b. -1.25 < a < 15 c. 1.25 < a < 15 d. 3 < a < 15

Answer 1

1.25 < a < 13.5.

Explanation:

3 + √(4a - 5) < 10

√(4a - 5) < 7

Square both sides

4a - 5 < 49

4a < 54

a < 13.5

4a- 5 > 0 as it cannot be a negative, so the other value is

a = 5/4 = 1.25