Solve multi-step inequalities, including reversing the inequality when appropriate.
Translate a verbal multi-step inequality
Problem
Translate and solve “\(\text{twice}~a~\text{number}~\text{plus}~5~\text{is}~\text{greater}~\text{than}~17\).” Graph choices: A. open at \(6\) right; B. closed at \(6\) right; C. open at \(6\) left.
Translate the verbal structure in order: double the unknown, add five, and compare that result strictly with seventeen. Solve by reversing the addition and positive multiplication, so the inequality direction stays unchanged. The final strict symbol excludes its boundary, while the greater-than direction sends the graph toward larger values; use both features together.
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