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

Solve the compound inequality.2x+6 s 2 or 2x-224Graph the solution on the number line-example-1
User Lkamal
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1 Answer

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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.

Solve the compound inequality.2x+6 s 2 or 2x-224Graph the solution on the number line-example-1
User Tim Friske
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