Solve the equation. Give the solution in interval notation. $$| 4 - 5 x | \geq 14$$
A) $( - \infty , - 2 ] \cup \left[ \frac { 18 } { 5 } , \infty \right)$
B) $\left[ \frac { 18 } { 5 } , \infty \right)$
C) $\left[ - 2 , \frac { 18 } { 5 } \right]$
D) $( - \infty , - 2 ]$
E)no solution

Question

Quizplus · Accepted Answer

To solve $| 4 - 5 x | \geq 14$, we consider two cases: $4 - 5x \geq 14$ and $4 - 5x \leq -14$. Solving the first gives $x \leq -2$, and solving the second gives $x \geq \frac{18}{5}$. Thus, the solution in interval notation is $( - \infty , - 2 ] \cup \left[ \frac { 18 } { 5 } , \infty \right)$.

Solve the Equation ∣4−5x∣≥14| 4 - 5 x | \geq 14∣4−5x∣≥14

Solve the Equation $| 4 - 5 x | \geq 14$