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Solution:
Given inequality is |2x + 1| ≤ 5
In case of inequality modulus, we take as -5 ≤ 2x + 1 ≤ 5
Add -1 on both sides
-5-1 ≤ 2x + 1 - 1 ≤ 5 - 1
-6 ≤ 2x ≤ 4
Divide by 2 on both sides
-3 ≤ x ≤ 2
Summary:
The absolute value inequality: |2x + 1| ≤ 5 is -3 ≤ x ≤ 2.