Solve the inequality. Write the solution set in interval notation.
-$| 5 x - 9 | \leq - 8$
A) $\left( - \infty , \frac { 1 } { 5 } \right) \cup ( - 3 , \infty )$
B) $\left( - \infty , \frac { 17 } { 5 } \right) \cup \left( \frac { 1 } { 5 } , \infty \right)$
C) $\left( \frac { 17 } { 5 } , \frac { 1 } { 5 } \right)$
D) $\varnothing$

Question

Quizplus · Accepted Answer

The absolute value of any real number is always non-negative, meaning it is either positive or zero. Therefore, the inequality $| 5x - 9 | \leq -8$ has no solution because the absolute value cannot be less than or equal to a negative number.

Solve the Inequality ∣5x−9∣≤−8| 5 x - 9 | \leq - 8∣5x−9∣≤−8

Solve the Inequality $| 5 x - 9 | \leq - 8$