Question

solving linear inequ

1. solve for b,

-7b - 18 > -39

Explanation:

Step1: Add 18 to both sides

To isolate the term with \( b \), we add 18 to both sides of the inequality \(-7b - 18 > -39\). This gives us \(-7b - 18 + 18 > -39 + 18\), which simplifies to \(-7b > -21\).

Step2: Divide both sides by -7 (and reverse inequality)

When dividing an inequality by a negative number, we reverse the inequality sign. So, dividing both sides of \(-7b > -21\) by -7 gives \(b < \frac{-21}{-7}\), which simplifies to \(b < 3\).

Answer:

\(b < 3\)