Example

Example: Solving and Graphing 2438m24 \leq \frac{3}{8}m

To solve the inequality 2438m24 \leq \frac{3}{8}m, use the Multiplication Property of Inequality by multiplying both sides by 83\frac{8}{3}, the reciprocal of 38\frac{3}{8}. Because 83\frac{8}{3} is a positive number, the inequality sign remains unchanged, resulting in 64m64 \leq m. Rewriting the statement with the variable on the left gives m64m \geq 64. To graph this solution, a left bracket is placed at 6464 on the number line with shading to the right. In interval notation, the solution set is expressed as [64,)[64, \infty).

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Updated 2026-04-22

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