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Q. The values of $x$ for which $ -11\le 4x-3\le 13 $ is

J & K CETJ & K CET 2013Linear Inequalities

Solution:

Given inequality is
$ -11\le 4x-3\le 13 $
$ \Rightarrow $ $ 3-11\,\,\le \,4x\le 13+3 $
$ \Rightarrow $ $ -8\le 4x\le 16\,\,\,\Rightarrow \,\,\,-2\le x\le 4 $
$ \therefore $ $ x\,\in [-2,\,4] $