Solving and Graphing Inequalities using Multiplication or Division - Concept

Concept Concept (1)

Inequalities follow different rules than equations when dealing with multiplication. Solving inequalities using multiplication involves watching for negative numbers. When we multiply both sides by a negative number we must change the direction of the inequality sign. This happens when using multiplicative inverses to simplify the way we would when solving multi-step equations.

Sample Sample Problems (3)

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Solving and Graphing Inequalities using Multiplication or Division - Problem 1

Solve the inequality and graph your solution.

-3x < 9
Problem 1
How to solve and graph one variable inequalities when dividing by a negative number.
Solving and Graphing Inequalities using Multiplication or Division - Problem 2

Solve the inequality and graph your solution.

x ≤ -8
4
Problem 2
How to solve and graph one variable inequalities when multiplying by a positive number.