Question

Solve the following inequality algebraically.

∣x+7∣≤4

Answer 1

- 11 ≤ x ≤ - 3

Explanation:

Inequalities of the type | x | ≤ a , have a solution of the form

- a ≤ x ≤ a

Then

| x + 7 | ≤ 4

- 4 ≤ x + 7 ≤ 4 ( subtract 7 from each interval )

- 11 ≤ x ≤ - 3