Solve the inequality. Write the solution set in interval notation. $- 8 - 8 z \leq - 3$
A) $\left( - \infty , - \frac { 5 } { 8 } \right)$
B) $\left( - \infty , - \frac { 5 } { 8 } \right]$
C) $\left[ - \frac { 5 } { 8 } , \infty \right]$
D) $\left( - \frac { 5 } { 8 } , \infty \right)$

Question

Quizplus · Accepted Answer

First, add 8 to both sides of the inequality to get $-8z \leq 5$. Then, divide both sides by -8 (remember to flip the inequality sign when dividing by a negative number), resulting in $z \geq -\frac{5}{8}$. This corresponds to the interval $\left[ -\frac{5}{8}, \infty \right]$.

Solve the Inequality −8−8z≤−3- 8 - 8 z \leq - 3−8−8z≤−3

Solve the Inequality $- 8 - 8 z \leq - 3$