Question

solve the following absolute value equation.

\\|-6x + 3| = 9\\

select the correct choice below and, if necessary, fill in the answer box to complete your choice.

a. the solution set is \\{\quad\\}.
(simplify your answer. use a comma to separate answers as needed.)

b. the solution set is \\{\\} or \varnothing.

Explanation:

⚡ Using what you learned: Solving Absolute Value Equations

Step 1: Set up two equations

$$ -6x + 3 = 9 \quad \text{or} \quad -6x + 3 = -9 $$

Step 2: Solve the first equation

$$
LATEXBLOCK0
$$

Step 3: Solve the second equation

$$
LATEXBLOCK1
$$

Answer:

A. The solution set is \(\{ -1, 2 \}\).