Find the solution set for the equation.
-$$| x - 5 | = 4$$
A) $\varnothing$
B) $\{ 1,9 \}$
C) $\{ - 9 \}$
D) $\{ - 1,9 \}$

Name: Find the solution set for the equation. -\[| x - 5 | = 4\] A) $\varnothing$ B) $\{ 1,9 \}$ C) $\{ - 9 \}$ D) $\{ - 1,9 \}$
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Question

Quizplus · Accepted Answer

The equation $| x - 5 | = 4$ means that the distance between $x$ and 5 is 4. This leads to two cases: $x - 5 = 4$ and $x - 5 = -4$. Solving these gives $x = 9$ and $x = 1$, respectively. Therefore, the solution set is $\{ 1,9 \}$.

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Find the Solution Set for the Equation $| x - 5 | = 4$