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Popular >

(x^2-5)/x <-4

Solution

\frac{x ^{2} - 5}{x} < - 4

Solution

x < - 5 or 0 < x < 1

+1

Interval Notation

(- \infty, - 5) \cup (0, 1)

Solution steps

\frac{x ^{2} - 5}{x} < - 4

Rewrite in standard form

\frac{x ^{2} - 5 + 4 x}{x} < 0

Factor

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

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

Identify the intervals

x < - 5 or 0 < x < 1

Popular Examples

factor 3w^3+192 factor

3 w^{3} + 192

simplify 2/5 x^2y^2+1/5 x^2y^2 simplify

\frac{2}{5} x^{2} y^{2} + \frac{1}{5} x^{2} y^{2}

factor 3z^2+23z+30 factor

3 z^{2} + 23 z + 30

factor-x^3+a^3 factor

- x^{3} + a^{3}

1 + 3 u < 10

Frequently Asked Questions (FAQ)

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