Question

Solve the inequality shown below
|2x - 5| > 5

Answer 1

We solve |2x − 5| > 5. For |A| > b (b>0) we have A > b or A < −b.

So
2x − 5 > 5 => 2x > 10 => x > 5,
or
2x − 5 < −5 => 2x < 0 => x < 0.

Thus the solution set is (-∞, 0) ∪ (5, ∞).