Question

solve the inequality for v. -7 < -6v + 11 simplify your answer as much as possible.

Explanation:

Step1: Subtract 11 from both sides

To isolate the term with \( v \), we subtract 11 from both sides of the inequality \(-7 < -6v + 11\). This gives us \(-7 - 11 < -6v + 11 - 11\), which simplifies to \(-18 < -6v\).

Step2: Divide both sides by -6 (and reverse inequality)

When dividing an inequality by a negative number, we must reverse the inequality sign. So, dividing both sides of \(-18 < -6v\) by \(-6\) gives us \(\frac{-18}{-6} > \frac{-6v}{-6}\), which simplifies to \(3 > v\) or equivalently \(v < 3\).

Answer:

\(v < 3\)