## Calculus: Early Transcendentals 8th Edition

$[1.3, 1.7]$
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$[1.3, 1.7]$.