Question

solve the linear inequality for b. write your answer in inequality notation. -6 ≤ b - 2

Explanation:

Step1: Add 2 to both sides

To isolate \( b \), we add 2 to both sides of the inequality \(-6 \leq b - 2\). This gives us \(-6 + 2 \leq b - 2 + 2\).

Step2: Simplify both sides

Simplifying the left side: \(-6 + 2 = -4\). Simplifying the right side: \(b - 2 + 2 = b\). So the inequality becomes \(-4 \leq b\), or equivalently \(b \geq -4\).

Answer:

\(b \geq -4\)