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Popular >

(7-x)/(x-5)>=-3

Solution

\frac{7 - x}{x - 5} \geq - 3

Solution

x \leq 4 or x > 5

+1

Interval Notation

(- \infty, 4] \cup (5, \infty)

Solution steps

\frac{7 - x}{x - 5} \geq - 3

Rewrite in standard form

\frac{2 x - 8}{x - 5} \geq 0

Factor

\frac{2 x - 8}{x - 5} : \frac{2 ( x - 4 )}{x - 5}

\frac{2 ( x - 4 )}{x - 5} \geq 0

Divide both sides by

2

\frac{\frac{2 ( x - 4 )}{x - 5}}{2} \geq \frac{0}{2}

Simplify

\frac{x - 4}{x - 5} \geq 0

Identify the intervals

x \leq 4 or x > 5

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Frequently Asked Questions (FAQ)

What is (7-x)/(x-5)>=-3 ?
The solution to (7-x)/(x-5)>=-3 is x<= 4\lor x>5