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Popular >

x/(|x+4|)<0

Solution

\frac{x}{∣ x + 4 ∣} < 0

Solution

x < - 4 or - 4 < x < 0

+1

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

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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