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Popular >

(3x)/(7-x)<x

Solution

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

Solution

0 < x < 4 or x > 7

+1

Interval Notation

(0, 4) \cup (7, \infty)

Solution steps

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

Rewrite in standard form

\frac{- 4 x + x ^{2}}{7 - x} < 0

Factor

\frac{- 4 x + x ^{2}}{7 - x} : \frac{x ( x - 4 )}{7 - x}

\frac{x ( x - 4 )}{7 - x} < 0

Identify the intervals

0 < x < 4 or x > 7

Popular Examples

factor 4x^2-11x-3 factor

4 x^{2} - 11 x - 3

1^{2} + 3^{2} = c^{2}

365^2=k*(93000000)^3

36 5^{2} = k \cdot (93000000)^{3}

x - 5 < - 2

simplify (x/y-y/x)/(1/(x^2)-1/(y^2))simplify

\frac{\frac{x}{y} - \frac{y}{x}}{\frac{1}{x ^{2}} - \frac{1}{y ^{2}}}

Frequently Asked Questions (FAQ)

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