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Popular >

x/(|x+4|)<0

Solution

\frac{x}{∣ x + 4 ∣} < 0

Solution

x < - 4 or - 4 < x < 0

+1

Interval Notation

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

Solution steps

\frac{x}{∣ x + 4 ∣} < 0

∣ x + 4 ∣ \geq 0

If

\frac{a}{b} < 0 and b \geq 0

then

a < 0 and b > 0

x < 0 and ∣ x + 4 ∣ > 0

∣ x + 4 ∣ > 0 : x < - 4 or x > - 4

Combine the intervals

x < 0 and (x < - 4 or x > - 4)

Merge Overlapping Intervals

x < - 4 or - 4 < x < 0

Popular Examples

x^{2} < 81

factor 8-x^3 factor

8 - x^{3}

y - \frac{2}{10} = \frac{9}{7}

simplify (((5x)/2*(3y)/4))/((\frac{x^2y){12})}simplify

\frac{( \frac{5 x}{2} \cdot \frac{3 y}{4} )}{( \frac{x ^{2} y}{12} )}

factor 10y^2-28y+18 factor

10 y^{2} - 28 y + 18

Frequently Asked Questions (FAQ)

What is x/(|x+4|)<0 ?
The solution to x/(|x+4|)<0 is x<-4\lor-4<x<0