Question

solve the inequality for v.
-20 ≤ -5v
simplify your answer as much as possible.

Explanation:

Step1: Divide both sides by -5

When dividing an inequality by a negative number, the direction of the inequality sign flips. So we divide both sides of \(-20 \leq -5v\) by \(-5\).
\(\frac{-20}{-5} \geq \frac{-5v}{-5}\)

Step2: Simplify both sides

Simplifying the left side: \(\frac{-20}{-5}=4\)
Simplifying the right side: \(\frac{-5v}{-5}=v\)
So we get \(4 \geq v\), which can also be written as \(v \leq 4\)

Answer:

\(v \leq 4\)