Question

Solve and graph the absolute value inequality: |2x + 1| ≤ 5.

Answer 1

–7/2 ≤ x ≤ 5/2

Explanation:

Given in the question an inequality

| 2x + 1 | ≤ 5

–5 ≤ 2x + 1 ≤ 5

–6 – 1 ≤ 2x + 1 -1 ≤ 6 – 1

–7 ≤ 2x ≤ 5

–7/2 ≤ x ≤ 5/2

Then the solution to | 2x + 1 | ≤ 5 is the interval –7/2 ≤ x ≤ 5/2

Graph is attach below