Question

TRY IT Identifying Inequalities with No SolutIdentify the graph of the compound inequality (-2 <2x-6) (3x-12 510).-10-5510-10-5OUT510-10-60510

Answer 1

A.

Explanation:

The person above me explains it :)

Answer 2

Step 1:

Write the expression

`\text{ -2<}2x\text{ - 6 }\cap\text{ 3x -12 }\leq10`

Step 2:

Solve each inequality

`\begin{gathered} -2\text{ < 2x - 6} \\ -2\text{ + 6 < 2x} \\ 4\text{ < 2x} \\ \text{x > 2} \end{gathered}`

Next, solve the other inequality

`\begin{gathered} 3x\text{ - 12 }\leq\text{ 10} \\ 3x\text{ }\leq\text{ 22} \\ \text{x }\leq(23)/(4) \end{gathered}`

Option A is the correct answer