1Cademy - Solving $$-7r \leq -70$$ and $$\frac{u}{-4} \geq -16$$

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Division Property of Inequality

Example

Solving $-7r \leq -70$ and $\frac{u}{-4} \geq -16$

Solve each inequality by applying the appropriate property of inequality, ensuring the inequality sign is reversed when multiplying or dividing by a negative number.

ⓐ Solve $-7r \leq -70$ : Divide both sides by $-7$ . Since $-7$ is negative, reverse the inequality: $r \geq 10$ In interval notation, the solution is $[10, \infty)$ .

ⓑ Solve $\frac{u}{-4} \geq -16$ : Multiply both sides by $-4$ . Since $-4$ is negative, reverse the inequality: $u \leq 64$ In interval notation, the solution is $(-\infty, 64]$ .