Answered

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

Sagot :

The given inequality is

[tex]\frac{x}{3-7}\ge0[/tex]

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

[tex]\frac{x}{-4}\ge0[/tex]

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

[tex]\begin{gathered} x\le0\cdot-4 \\ \boxed{x\le0} \end{gathered}[/tex]

which is our answer!

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