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Popular >

4/x-3> 2/x-7

Solution

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

Solution

x < - \frac{1}{2} or x > 0

+2

Solution steps

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

Rewrite in standard form

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

Factor

\frac{2 + 4 x}{x} : \frac{2 ( 2 x + 1 )}{x}

\frac{2 ( 2 x + 1 )}{x} > 0

Divide both sides by

2

\frac{\frac{2 ( 2 x + 1 )}{x}}{2} > \frac{0}{2}

Simplify

\frac{2 x + 1}{x} > 0

Identify the intervals

x < - \frac{1}{2} or x > 0

Popular Examples

factor x^3+9x^2+20x factor

x^{3} + 9 x^{2} + 20 x

14 s = 140

simplify (3b^6)/(b^6)simplify

\frac{3 b ^{6}}{b ^{6}}

∣ n - 10 ∣ > 12

simplify 2pi(128/5-64+64/3)simplify

2 π (\frac{128}{5} - 64 + \frac{64}{3})

Frequently Asked Questions (FAQ)

What is 4/x-3> 2/x-7 ?
The solution to 4/x-3> 2/x-7 is x<-1/2 \lor x>0