Solve the equation.
-$|\mathrm{t}-9|=0$

A) $(-\infty,-9] \cup[9, \infty)$
B) $\{9\}$
C) $\{-9\}$
D) $\varnothing$

Name: Solve the equation. -$|\mathrm{t}-9|=0$ A) $(-\infty,-9] \cup[9, \infty)$ B) $\{9\}$ C) $\{-9\}$ D) $\varnothing$
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Question

Solve the equation.
-$|\mathrm{t}-9|=0$

A) $(-\infty,-9] \cup[9, \infty)$
B) $\{9\}$
C) $\{-9\}$
D) $\varnothing$

Quizplus · Accepted Answer

The absolute value of a number equals zero if and only if the number itself is zero. Therefore, $|\mathrm{t}-9|=0$ implies that $\mathrm{t}-9=0$, which further simplifies to $\mathrm{t}=9$.

Solve the Equation ∣t−9∣=0|\mathrm{t}-9|=0∣t−9∣=0 A) (−∞,−9]∪[9,∞)(-\infty,-9] \cup[9, \infty)(−∞,−9]∪[9,∞) B) {9}\{9\}{9} C) {−9}\{-9\}{−9} D) ∅\varnothing∅

Solve the Equation $|\mathrm{t}-9|=0$ A) $(-\infty,-9] \cup[9, \infty)$ B) $\{9\}$ C) $\{-9\}$ D) $\varnothing$