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Popular >

|x(x+4)|>x

Solution

∣ x (x + 4) ∣ > x

Solution

x < 0 or x > 0

+1

Interval Notation

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

Solution steps

∣ x (x + 4) ∣ > x

Find positive and negative intervals

x \leq - 4, - 4 < x < 0, x \geq 0

Solve the inequality for each interval

x \leq - 4 or - 4 < x < 0 or x > 0

Merge Overlapping Intervals

x < 0 or x > 0

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Frequently Asked Questions (FAQ)

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