Solve the equation or inequality.
-$|4 \mathrm{f}-6|=-8$
A) $\left\{\frac{7}{2}, \frac{1}{2}\right\}$
B) $\varnothing$
C) $\left\{-\frac{1}{2}\right\}$
D) $\left\{-2,-\frac{1}{2}\right\}$

Question

Quizplus · Accepted Answer

The absolute value of any real number is always non-negative, so the equation $|4f-6| = -8$ has no solution because the absolute value cannot equal a negative number.

Solve the Equation or Inequality ∣4f−6∣=−8|4 \mathrm{f}-6|=-8∣4f−6∣=−8 A) {72,12}\left\{\frac{7}{2}, \frac{1}{2}\right\}{27​,21​} B) ∅\varnothing∅ C) {−12}\left\{-\frac{1}{2}\right\}{−21​}

Solve the Equation or Inequality $|4 \mathrm{f}-6|=-8$ A) $\left\{\frac{7}{2}, \frac{1}{2}\right\}$ B) $\varnothing$ C) $\left\{-\frac{1}{2}\right\}$