Solve one-step inequalities and represent solutions on a number line.
Translate inequality words into symbols and graphs
Problem
Translate “\(a~\text{number}~\text{is}~\text{at}~\text{most}~3\)” into an inequality, then match its boundary and direction to the graph descriptions below. Which graph description matches the inequality?
A. Closed at \(3\), shaded left B. Open at \(3\), shaded left C. Closed at \(3\), shaded right
“At most three” includes three and every smaller number. Translate inclusion into an equality bar on the inequality symbol and a closed graph endpoint, then translate “smaller” into shading to the left. The symbolic statement and graph must agree on both endpoint style and direction, so check those two features separately.
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