15)Solve each equation or inequality. Write solutions to inequalities in interval notation. If no solutions exist, write no solution.

Given:
[tex]\text{ lx-6l}\leq15[/tex]Required:
We need to write solutions to inequalities in interval notation.
Explanation:
[tex]\text{lx-6l}\leqslant15[/tex]now open mode
[tex]-15\leq\text{x-6}\leqslant15[/tex]now add 6 every sides
[tex]\begin{gathered} -15+6\leqslant x-6+6\leqslant15+6 \\ -9\leq x\leq21 \end{gathered}[/tex]Final answer:
Interval of solution is [-9,21]