1Cademy - Example: Solving and Graphing $$24 \leq \frac{3}{8}m$$

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Multiplication Property of Inequality

Example

Example: Solving and Graphing $24 \leq \frac{3}{8}m$

To solve the inequality $24 \leq \frac{3}{8}m$ , use the Multiplication Property of Inequality by multiplying both sides by $\frac{8}{3}$ , the reciprocal of $\frac{3}{8}$ . Because $\frac{8}{3}$ is a positive number, the inequality sign remains unchanged, resulting in $64 \leq m$ . Rewriting the statement with the variable on the left gives $m \geq 64$ . To graph this solution, a left bracket is placed at $64$ on the number line with shading to the right. In interval notation, the solution set is expressed as $[64, \infty)$ .