Solve the Given Equation or Inequality $\left|\frac{1}{2} x+\frac{1}{5}\right|+\frac{1}{4}=\frac{7}{4}$ A) $\left(-\infty,-\frac{17}{5}\right] \cup\left[\frac{13}{5}, \infty\right)$

Multiple Choice

Solve the given equation or inequality. If an equation is given, then write the solution set in set notation. If an inequality is given, then write the solution set in interval notation.
- $\left|\frac{1}{2} x+\frac{1}{5}\right|+\frac{1}{4}=\frac{7}{4}$

A) $\left(-\infty,-\frac{17}{5}\right] \cup\left[\frac{13}{5}, \infty\right)$

B) $\left\{-\frac{17}{5}, \frac{13}{5}\right\}$

C) $\left\{\frac{13}{5}\right\}$

D) $\left\{0, \frac{13}{5}\right\}$