Solve multi-step inequalities, including reversing the inequality when appropriate.
Choose the best first step in a multi-step inequality
Problem
Which complete response correctly handles \(4(x~-~3)~+~5~\le~2x~+~11\)? First-step choices: A. distribute \(4\); B. combine \(-3\) and \(5\); C. divide by \(4\). Graph choices: G1 closed at \(9\) left; G2 open at \(9\) left; G3 closed at \(9\) right.
The parentheses control the first move: distribute four across the whole grouped difference before combining any constants. Then simplify, collect variable terms, and isolate x with positive-number operations, preserving the inclusive inequality. Finally turn that solved symbol into graph features by separating boundary inclusion from ray direction and matching both features at once.
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