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Popular >

4/x-3< 2/x-7

Solution

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

Solution

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

+2

Interval Notation

(- \frac{1}{2}, 0)

Decimal Notation

- 0.5 < x < 0

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

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

Popular Examples

factor x^3-5x^2+2x+8 factor

x^{3} - 5 x^{2} + 2 x + 8

-x+7>3\land x-12<-10

- x + 7 > 3 and x - 12 < - 10

simplify (ay-ax+by-bx)/(2ay-by-2ax+bx)simplify

\frac{a y - a x + b y - b x}{2 a y - b y - 2 a x + b x}

simplify (4t)^2 simplify

(4 t)^{2}

factor x^4-6x^2+9 factor

x^{4} - 6 x^{2} + 9

Frequently Asked Questions (FAQ)

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