Answer
$[3,7]$
Work Step by Step
$-3(x-2) \leq 3-2x \leq 10-3x$
Apply Distributive property,
$-3x+6 \leq 3-2x \leq 10-3x$
Using properties of inequality, Add $-3 $ to all parts.
$-3x+6-3 \leq 3-2x-3 \leq 10-3x-3$
$-3x+3 \leq -2x \leq 7-3x$
Add $3x $ to all parts.
$-3x+3+3x \leq -2x+3x \leq 7-3x+3x$
$3 \leq x \leq 7$
Interval Notation: $[3,7]$
