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MathGrade 7-9

Solving and Graphing Inequalities Answer Key

Solve one-variable inequalities and graph solutions on number lines.

Looking for Solving and Graphing Inequalities answers? This complete answer key provides verified solutions for all student exploration activities and assessment questions in the ExploreLearning Solving and Graphing Inequalities Gizmo.

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Solving Inequalities

Q1.How is solving inequalities like solving equations?

Answer

You use the same steps - add, subtract, multiply, divide to isolate the variable.

Q2.What's the special rule for inequalities?

Answer

When you multiply or divide by a negative number, flip the inequality sign. Example: -2x > 6 becomes x < -3.

Graphing Solutions

Q3.How do you graph x > 3?

Answer

Open circle at 3, arrow pointing right (all numbers greater than 3).

Q4.How do you graph x ≤ -2?

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