Graph the solution set.
-$$| x - 2 | + 3 = 6$$
A) $\{ 5 , - 1 \}$
B) $\{ 5 \}$
C) $\varnothing$
D) $\{ - 5,1 \}$

Name: Graph the solution set. -\[| x - 2 | + 3 = 6\] A) $\{ 5 , - 1 \}$ B) $\{ 5 \}$ C) $\varnothing$ D) $\{ - 5,1 \}$
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Question

Quizplus · Accepted Answer

The equation $| x - 2 | + 3 = 6$ simplifies to $| x - 2 | = 3$. This means $x - 2 = 3$ or $x - 2 = -3$. Solving these gives $x = 5$ or $x = -1$, so the solution set is $\{ 5 , - 1 \}$.

Graph the Solution Set ∣x−2∣+3=6| x - 2 | + 3 = 6∣x−2∣+3=6

Graph the Solution Set $| x - 2 | + 3 = 6$