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Popular >

(10x-5)/(2x-4)<0

Solution

\frac{10 x - 5}{2 x - 4} < 0

Solution

\frac{1}{2} < x < 2

+2

Solution steps

\frac{10 x - 5}{2 x - 4} < 0

Factor

\frac{10 x - 5}{2 x - 4} : \frac{5 ( 2 x - 1 )}{2 ( x - 2 )}

\frac{5 ( 2 x - 1 )}{2 ( x - 2 )} < 0

Multiply both sides by

2

\frac{2 \cdot 5 ( 2 x - 1 )}{2 ( x - 2 )} < 0 \cdot 2

Simplify

\frac{5 ( 2 x - 1 )}{x - 2} < 0

Divide both sides by

5

\frac{\frac{5 ( 2 x - 1 )}{x - 2}}{5} < \frac{0}{5}

Simplify

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

Identify the intervals

\frac{1}{2} < x < 2

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\frac{36 x ^{2}}{64 x ^{2} y}

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\frac{1}{2} \cdot \frac{3}{2}

join pi/6+4pi join

\frac{π}{6} + 4 π

Frequently Asked Questions (FAQ)

What is (10x-5)/(2x-4)<0 ?
The solution to (10x-5)/(2x-4)<0 is 1/2 <x<2