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How do you solve this problem? Not used to one with a fraction

How do you solve this problem? Not used to one with a fraction-example-1

1 Answer

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(2)/(3)x-2\ge0

Solve for x:

Multiply both sides by 3:


\begin{gathered} 3((2)/(3)x-2)\ge0 \\ 2x-6\ge0 \end{gathered}

Add 6 to both sides:


\begin{gathered} 2x-6+6\ge0+6 \\ 2x\ge6 \end{gathered}

Divide both sides by 2:


\begin{gathered} (2x)/(2)\ge(6)/(2) \\ x\ge3 \end{gathered}

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