Question

1. $-3 - x + 7 leq -11 + 4x$

Explanation:

Step1: Simplify left side terms

$-3 + 7 - x \leq -11 + 4x$
$4 - x \leq -11 + 4x$

Step2: Add $x$ to both sides

$4 - x + x \leq -11 + 4x + x$
$4 \leq -11 + 5x$

Step3: Add 11 to both sides

$4 + 11 \leq -11 + 11 + 5x$
$15 \leq 5x$

Step4: Divide by 5 on both sides

$\frac{15}{5} \leq \frac{5x}{5}$
$3 \leq x$

Answer:

$x \geq 3$