Step 1:
Write the expression
[tex]\text{ -2<}2x\text{ - 6 }\cap\text{ 3x -12 }\leq10[/tex]
Step 2:
Solve each inequality
[tex]\begin{gathered} -2\text{ < 2x - 6} \\ -2\text{ + 6 < 2x} \\ 4\text{ < 2x} \\ \text{x > 2} \end{gathered}[/tex]
Next, solve the other inequality
[tex]\begin{gathered} 3x\text{ - 12 }\leq\text{ 10} \\ 3x\text{ }\leq\text{ 22} \\ \text{x }\leq\frac{23}{4} \end{gathered}[/tex]
Option A is the correct answer
