Question

1. $-14 < \frac{b}{2}$

Explanation:

Step1: Multiply both sides by 2

To solve the inequality \(-14 < \frac{b}{2}\), we multiply both sides by 2 to isolate \(b\). When we multiply both sides of an inequality by a positive number, the direction of the inequality sign remains the same. So we have:
\(-14\times2 < \frac{b}{2}\times2\)

Step2: Simplify both sides

Simplifying the left side: \(-14\times2 = -28\)
Simplifying the right side: \(\frac{b}{2}\times2 = b\)
So the inequality becomes \(b > -28\)

Answer:

\(b > -28\) (On the number line, this would be all values to the right of -28)