Solve the inequality. Write the solution set in interval notation.
-$$| x - 1 | \leq 0$$
A) $\{ - 1 \}$
B) $\{ 1 \}$
C) $( - \infty , 1 )$
D) $\varnothing$

Question

Quizplus · Accepted Answer

The absolute value of an expression equals 0 if and only if the expression itself is 0. Therefore, $| x - 1 | \leq 0$ implies $x - 1 = 0$, which further simplifies to $x = 1$. This means the solution set consists of the single point $x = 1$, represented in interval notation as $\{ 1 \}$.

Solve the Inequality ∣x−1∣≤0| x - 1 | \leq 0∣x−1∣≤0 A) {−1}\{ - 1 \}{−1}

Solve the Inequality $| x - 1 | \leq 0$ A) $\{ - 1 \}$