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Popular >

(3-x)/(x-6)>=-4

Solution

\frac{3 - x}{x - 6} \geq - 4

Solution

x < 6 or x \geq 7

+1

Interval Notation

(- \infty, 6) \cup [7, \infty)

Solution steps

\frac{3 - x}{x - 6} \geq - 4

Rewrite in standard form

\frac{3 x - 21}{x - 6} \geq 0

Factor

\frac{3 x - 21}{x - 6} : \frac{3 ( x - 7 )}{x - 6}

\frac{3 ( x - 7 )}{x - 6} \geq 0

Divide both sides by

3

\frac{\frac{3 ( x - 7 )}{x - 6}}{3} \geq \frac{0}{3}

Simplify

\frac{x - 7}{x - 6} \geq 0

Identify the intervals

x < 6 or x \geq 7

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Frequently Asked Questions (FAQ)

What is (3-x)/(x-6)>=-4 ?
The solution to (3-x)/(x-6)>=-4 is x<6\lor x>= 7