Question

solve the inequality for v.
-3v - 7 ≤ 2v + 8
simplify your answer as much as possible.

Explanation:

Step1: Add $3v$ to both sides

$-3v -7 +3v \leq 2v +8 +3v$
$-7 \leq 5v +8$

Step2: Subtract 8 from both sides

$-7 -8 \leq 5v +8 -8$
$-15 \leq 5v$

Step3: Divide by 5 on both sides

$\frac{-15}{5} \leq \frac{5v}{5}$
$-3 \leq v$ or $v\geq -3$

Answer:

$v\geq -3$