Given
The inequality,
[tex]|6x-12|\leq6[/tex]
To find the solution set.
Explanation:
It is given that,
The inequality is,
[tex]|6x-12|\leq6[/tex]
That implies,
[tex]\begin{gathered} |6x-12|\leq6 \\ \Rightarrow-6\leq6x-12\leq6 \\ \Rightarrow-6+12\leq6x-12+12\leq6+12 \\ \Rightarrow6\leq6x\leq18 \\ (\div by\text{ }6)\Rightarrow1\leq x\leq3 \end{gathered}[/tex]
Hence, the solution set is given by
[tex]x\in[1,3][/tex]
