Solve one-step inequalities and represent solutions on a number line.
Model an additive inequality with context domain
Problem
Mia has completed \(5~\text{service}~\text{hours}\) and needs at least \(12\). Let \(h\) be her nonnegative additional hours. Write and solve an inequality, then report the contextual solution set in interval notation.
Big Picture
What this problem is really about
Build Mia’s total as the five completed hours plus h additional hours. “At least” includes the requirement and everything above it, so use an inclusive lower-bound inequality and solve by removing the five already completed. Finally intersect the algebraic result with h’s nonnegative-hour domain and express the allowed range with the correct endpoint notation.
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