1Cademy - Example: Solving and Graphing $$-24

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Multiplication Property of Inequality

Example

Example: Solving and Graphing $-24 < \frac{4}{3}n$

To find the solution to the inequality $-24 < \frac{4}{3}n$ , apply the Multiplication Property of Inequality by multiplying both sides by $\frac{3}{4}$ . Since $\frac{3}{4}$ is positive, the inequality sign direction is preserved, resulting in $-18 < n$ . Rewriting this with the variable on the left yields $n > -18$ . This solution is graphed by placing a left parenthesis at $-18$ on the number line and shading to the right. In interval notation, the solution is represented as $(-18, \infty)$ .