1. Tardigrade
  2. Question
  3. Mathematics
  4. The set of real values of x satisfying ||x - 1| -1| mid ≤ 1 is

Question Error Report

Thank you for reporting, we will resolve it shortly

Back to Question

Q. The set of real values of $x$ satisfying ||$x - 1| -1| \mid \leq 1$ is

Linear Inequalities

Solution:

||$x-1|-1| \leq 1 $
$\Rightarrow -1 \leq|x-1|-1 \leq 1$
$\Rightarrow 0 \leq|x-1| \leq 2 $
$\Rightarrow -2 \leq x-1 \leq 2$
$\Rightarrow -1 \leq x \leq 3 $
$\Rightarrow x \in[-1,3]$