Question

question 1 pts
solve the absolute value equation -|x - 2| + 3 = 0.
a x = -5, x = 1 c x = -1, x = 5
b x = -17, x = 17 d no solution
question 1 pts
which graph represents the equation y = -\frac{4}{3}x - 2?

Explanation:

Step1: Isolate absolute value term

$-|x - 2| + 3 = 0 \implies -|x - 2| = -3 \implies |x - 2| = 3$

Step2: Split into two equations

$x - 2 = 3$ or $x - 2 = -3$

Step3: Solve for x

$x = 3 + 2 = 5$ or $x = -3 + 2 = -1$

(Note: The second question about the graph is incomplete as no graphs are provided, so only the first question is solved.)

Answer:

C. x = -1, x = 5