Find the solution set for the equation.
-$| r - 5 | = 6$
A) $\{ - 1,11 \}$
B) $\{ 1,11 \}$
C) $\{ - 11 \}$
D) $\varnothing$

Question

Quizplus · Accepted Answer

The equation $| r - 5 | = 6$ can be solved by considering both the positive and negative scenarios of the absolute value. For the positive scenario, $r - 5 = 6$, which gives $r = 11$. For the negative scenario, $r - 5 = -6$, which gives $r = -1$. Therefore, the solution set is $\{ -1, 11 \}$.

Find the Solution Set for the Equation ∣r−5∣=6| r - 5 | = 6∣r−5∣=6

Find the Solution Set for the Equation $| r - 5 | = 6$