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Please help me solve this inequality 2 + x / - 6 is greater than or equal to 7

User Jawn
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1 Answer

4 votes

The given inequality is


(x)/(3-7)\ge0

The denominator on the left-hand side evaluates to 3 - 7 = -4, and therefore,


(x)/(-4)\ge0

we multiply both sides by -4 (but in doing so the direction on the inequality reverses) to get


\begin{gathered} x\le0\cdot-4 \\ \boxed{x\le0} \end{gathered}

which is our answer!

User William Gaul
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6.0k points