Solve.
-$$\left| \frac { 1 } { 5 } x - 7 \right| = 4$$
A) 55
B) 15,55
C) 15
D) $15,55,0$

Name: Solve. -\[\left| \frac { 1 } { 5 } x - 7 \right| = 4\] A) 55 B) 15,55 C) 15 D) $15,55,0$
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Question

Quizplus · Accepted Answer

The equation $\left| \frac { 1 } { 5 } x - 7 \right| = 4$ has two solutions because the absolute value equation can be split into two cases: $\frac { 1 } { 5 } x - 7 = 4$ and $\frac { 1 } { 5 } x - 7 = -4$. Solving each case gives $x = 55$ and $x = 15$, respectively.

Solve - ∣15x−7∣=4\left| \frac { 1 } { 5 } x - 7 \right| = 4​51​x−7​=4

Solve
- $\left| \frac { 1 } { 5 } x - 7 \right| = 4$