Solve the absolute value equation or indicate that the equation has no solution.
-$$3 | x - 3 | = 18$$
A) $\{ 9 , - 3 \}$
B) $\{ 3 , - 9 \}$
C) $\{ 3 \}$
D) $\varnothing$

Question

Quizplus · Accepted Answer

To solve the equation $3 | x - 3 | = 18$, divide both sides by 3 to get $| x - 3 | = 6$. This leads to two equations: $x - 3 = 6$ and $x - 3 = -6$. Solving these gives $x = 9$ and $x = -3$, respectively.

Solve the Absolute Value Equation or Indicate That the Equation 3∣x−3∣=183 | x - 3 | = 183∣x−3∣=18

Solve the Absolute Value Equation or Indicate That the Equation $3 | x - 3 | = 18$