Question

|4x+5|$\leq3$

Answer 1

$\displaystyle |4x+5| \leq 3 \\ 4x+5 \leq 3 \\ 4x \leq 3-5 \\ 4x \leq -2 \\ x \leq - \frac{2}{4} \Rightarrow x \leq - \frac{1}{2} \\ 4x+5 \geq -3 \\ 4x \geq -3-5 \\ 4x \geq -8 \\ x \geq - \frac{8}{4} \\ x \geq -2 \\ -2 \leq x \leq - \frac{1}{2} \\ x \in \left[-2,- \frac{1}{2} \right]$