Question

solve the inequality for v.
-3 > -2v - 13
simplify your answer as much as possible.

Explanation:

Step1: Add 13 to both sides

To isolate the term with \( v \), we add 13 to both sides of the inequality \(-3 > -2v - 13\). This gives us \(-3 + 13 > -2v - 13 + 13\), which simplifies to \(10 > -2v\).

Step2: Divide both sides by -2 (and reverse inequality)

When dividing an inequality by a negative number, we reverse the inequality sign. Dividing both sides of \(10 > -2v\) by -2, we get \(\frac{10}{-2} < \frac{-2v}{-2}\), which simplifies to \(-5 < v\) or equivalently \(v > -5\).

Answer:

\(v > -5\)