Graph the solution set.
-$$| - 7 x + 6 | = 1$$
A) $\left\{ \frac { 5 } { 7 } , 1 \right\}$
B) $\left\{ 1 , - \frac { 5 } { 7 } \right\}$
C) $\left\{ - 1 , - \frac { 5 } { 7 } \right\}$
D) $\left\{ \frac { 5 } { 7 } \right\}$

Question

Quizplus · Accepted Answer

To solve $| - 7 x + 6 | = 1$, we consider two cases: $ - 7 x + 6 = 1$ and $ - 7 x + 6 = -1$. Solving the first gives $x = \frac{5}{7}$ and the second gives $x = 1$. Therefore, the solution set is $\left\{ \frac { 5 } { 7 } , 1 \right\}$.

Graph the Solution Set ∣−7x+6∣=1| - 7 x + 6 | = 1∣−7x+6∣=1

Graph the Solution Set $| - 7 x + 6 | = 1$