Question

solve for r.
2(r - 12) + 3 ≥ 1

Explanation:

Step1: Simplify the left side

First, distribute the 2 in \(2(r - 12)\): \(2r - 24 + 3 \geq 1\). Then combine like terms: \(2r - 21 \geq 1\).

Step2: Isolate the term with r

Add 21 to both sides of the inequality: \(2r - 21 + 21 \geq 1 + 21\), which simplifies to \(2r \geq 22\).

Step3: Solve for r

Divide both sides by 2: \(\frac{2r}{2} \geq \frac{22}{2}\), so \(r \geq 11\).

Answer:

\(r \geq 11\)