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Popular >

(x^2+3)/x >4

Solution

\frac{x ^{2} + 3}{x} > 4

Solution

0 < x < 1 or x > 3

+1

Interval Notation

(0, 1) \cup (3, \infty)

Solution steps

\frac{x ^{2} + 3}{x} > 4

Rewrite in standard form

\frac{x ^{2} + 3 - 4 x}{x} > 0

Factor

\frac{x ^{2} + 3 - 4 x}{x} : \frac{( x - 1 ) ( x - 3 )}{x}

\frac{( x - 1 ) ( x - 3 )}{x} > 0

Identify the intervals

0 < x < 1 or x > 3

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Frequently Asked Questions (FAQ)

What is (x^2+3)/x >4 ?
The solution to (x^2+3)/x >4 is 0<x<1\lor x>3