Question

How do you solve the inequality `abs(2x - 5) ≤ 3x`?

Answer 1

`x>=1`.

Explanation:

As `|2x-5|>=0, 3x>=0`. So, `x>=0`.

The inequality `|2x-5|<=3x` is the combined inequality for

`2x-5<=3x and -(2x-5)<=3x`,

So, `x>=-5 and x>=1`.

Negative x is inadmissible . So, `x>=1`.