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Sirra Sneha · Answer 1 · 2023-08-30T20:29:19+0000

Given

The inequality,

$|6x-12|\leq6$

To find the solution set.

Step-by-step explanation:

It is given that,

The inequality is,

$|6x-12|\leq6$

That implies,

$\begin{gathered} |6x-12|\leq6 \\ \Rightarrow-6\leq6x-12\leq6 \\ \Rightarrow-6+12\leq6x-12+12\leq6+12 \\ \Rightarrow6\leq6x\leq18 \\ (/ by\text{ }6)\Rightarrow1\leq x\leq3 \end{gathered}$

Hence, the solution set is given by

$x\in[1,3]$

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