Solve the equation.
-$$| - 9 x + 8 | = 1$$
A) $\left\{ \frac { 7 } { 9 } , 1 \right\}$
B) $\left\{ \frac { 7 } { 9 } \right\}$
C) $\left\{ 1 , - \frac { 7 } { 9 } \right\}$
D) $\left\{ - 1 , - \frac { 7 } { 9 } \right\}$

Question

Quizplus · Accepted Answer

The equation $| - 9 x + 8 | = 1$ can be solved by considering both cases where the expression inside the absolute value is positive and negative. For the positive case: $-9x + 8 = 1$, solving for $x$ gives $x = \frac{7}{9}$. For the negative case: $-9x + 8 = -1$, solving for $x$ gives $x = 1$. Therefore, the solution set is $\left\{ \frac { 7 } { 9 } , 1 \right\}$.

Solve the Equation ∣−9x+8∣=1| - 9 x + 8 | = 1∣−9x+8∣=1

Solve the Equation $| - 9 x + 8 | = 1$