Solve the absolute value equation. $$4 = - 1 + \left| 2 - \frac { 1 } { 4 } w \right|$$
A) $\{ - 28 \}$
B) $\{ - 28,12 \}$
C) $\{ - 12 \}$
D) $\{ - 12,28 \}$

Question

Quizplus · Accepted Answer

The equation is equivalent to:$$2 - \frac { 1 } { 4 } w = 3 \quad \text{or} \quad 2 - \frac { 1 } { 4 } w = -5$$Solving each equation gives:$$w = -12 \quad \text{or} \quad w = 28$$So the solution set is $\{ - 12,28 \}$.

Solve the Absolute Value Equation 4=−1+∣2−14w∣4 = - 1 + \left| 2 - \frac { 1 } { 4 } w \right|4=−1+​2−41​w​

Solve the Absolute Value Equation $4 = - 1 + \left| 2 - \frac { 1 } { 4 } w \right|$