Question

Solve the compound inequality.2x+6 s 2 or 2x-224Graph the solution on the number line.

Answer 1

To find the solution to the compound inequality, we need to solve each inequality separately first:

`\begin{gathered} 2x+6\le2 \\ 2x\le2-6 \\ 2x\le-4 \\ x\le(-4)/(2) \\ x\le-2 \end{gathered}`
`\begin{gathered} 2x-2\ge4 \\ 2x\ge4+2 \\ 2x\ge6 \\ x\ge(6)/(2) \\ x\ge3 \end{gathered}`

The solution to the compound inequality is x<=-2 or x>=3.