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6. What is the solution set of the inequality below? *х-x + 2>-72O x5-82O x2-8O x2-9/2O X28

6. What is the solution set of the inequality below? *х-x + 2>-72O x5-82O x2-8O-example-1

1 Answer

3 votes

(x+2)/(2)\ge-7-(x)/(2)

Multiply both sides by 2:


x+2\ge-14-x

Add x to both sides:


2x+2\ge-14

Subtract 2 from both sides:


2x\ge-16

Divide both sides by 2:


\begin{gathered} x\ge-(16)/(2) \\ x\ge-8 \\ \end{gathered}

Answer:


x\ge-8

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