Given:
The inequality is,
[tex]|2x-6|\leq14[/tex]
Simplify the inequality,
[tex]\begin{gathered} |2x-6|\leq14 \\ \text{Apply the absolute rule, If |a|}\leq u\text{ Then -u}\leq a\leq u \\ -14\leq(2x-6)\leq14 \\ -14+6\leq2x\leq14+6 \\ -8\leq2x\leq20 \\ -\frac{8}{2}\leq x\leq\frac{20}{2} \\ -4\leq x\leq10 \end{gathered}[/tex]
Answer: The solution set is [-4,10].
