Question

solve for q.
2(q - 15) - 7 < -11

Explanation:

Step1: Simplify the left side

First, distribute the 2 in \(2(q - 15)\): \(2q-30 - 7< - 11\). Then combine like terms: \(2q-37 < - 11\).

Step2: Add 37 to both sides

To isolate the term with \(q\), add 37 to both sides of the inequality: \(2q-37 + 37< - 11+37\), which simplifies to \(2q < 26\).

Step3: Divide by 2

Divide both sides by 2 to solve for \(q\): \(\frac{2q}{2}<\frac{26}{2}\), so \(q < 13\).

Answer:

\(q < 13\)