Answer
$[1.3, 1.7]$
Work Step by Step
The inequality$ |2x-3|≤0.4$ can be calculated as follows:
If$ |x|≥a$ then:
$x≤-a,x≥a$ … (1)
Now, apply equation (1) for expression$ |2x-3|≤0.4$ to get:
$-0.4≤2x-3≤0.4$
This implies
$3-0.4≤2x≤0.4+3$
$2.6≤2x≤3.4$
$1.3≤x≤1.7$
Hence, the solution set is$[1.3, 1.7]$.
