Solve the equation.
-$$| x + 7 | - 3 = 11$$
A) $\{ - 1,7 \}$
B) $\{ - 21,7 \}$
C) $\{ 15,7 \}$
D) $\{ - 7,7 \}$

Name: Solve the equation. -\[| x + 7 | - 3 = 11\] A) $\{ - 1,7 \}$ B) $\{ - 21,7 \}$ C) $\{ 15,7 \}$ D) $\{ - 7,7 \}$
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Question

Quizplus · Accepted Answer

First, add 3 to both sides to isolate the absolute value: $| x + 7 | = 14$. Then, solve the equation for both the positive and negative scenarios: $x + 7 = 14$ and $x + 7 = -14$. Solving these gives $x = 7$ and $x = -21$, respectively.

Solve the Equation ∣x+7∣−3=11| x + 7 | - 3 = 11∣x+7∣−3=11

Solve the Equation $| x + 7 | - 3 = 11$