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Popular >

4/x-3>(2x)/x-7

Solution

\frac{4}{x} - 3 > \frac{2 x}{x} - 7

Solution

x < - 2 or x > 0

+1

Interval Notation

(- \infty, - 2) \cup (0, \infty)

Solution steps

\frac{4}{x} - 3 > \frac{2 x}{x} - 7

Rewrite in standard form

\frac{4 + 2 x}{x} > 0

Factor

\frac{4 + 2 x}{x} : \frac{2 ( x + 2 )}{x}

\frac{2 ( x + 2 )}{x} > 0

Divide both sides by

2

\frac{\frac{2 ( x + 2 )}{x}}{2} > \frac{0}{2}

Simplify

\frac{x + 2}{x} > 0

Identify the intervals

x < - 2 or x > 0

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Frequently Asked Questions (FAQ)

What is 4/x-3>(2x)/x-7 ?
The solution to 4/x-3>(2x)/x-7 is x<-2\lor x>0