solve: -3 ≤ 2x - 1 ≤ 5
solve: -3 ≤ 2x - 1 ≤ 5
Answer
Explanation:
Step1: Add 1 to all parts
$$ \begin{align*} -3 + 1&\leq 2x-1 + 1\leq 5+1\ -2&\leq 2x\leq 6 \end{align*} $$
Step2: Divide all parts by 2
$$ \begin{align*} \frac{-2}{2}&\leq\frac{2x}{2}\leq\frac{6}{2}\ -1&\leq x\leq 3 \end{align*} $$
Answer:
$-1\leq x\leq 3$