Solve Equations Involving Absolute Value
Solve the absolute value equation or indicate that the equation has no solution.
-$$| x - 5 | = 9$$
A) $\{ - 4,14 \}$
B) $\{ 4,14 \}$
C) $\{ - 14 \}$
D) $\varnothing$

Question

Quizplus · Accepted Answer

The equation $| x - 5 | = 9$ can be solved by considering both cases where $x - 5 = 9$ and $x - 5 = -9$. Solving these gives $x = 14$ and $x = -4$, respectively.

Solve Equations Involving Absolute Value Solve the Absolute Value Equation ∣x−5∣=9| x - 5 | = 9∣x−5∣=9

Solve Equations Involving Absolute Value
Solve the Absolute Value Equation $| x - 5 | = 9$