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Popular >

|x^2-x|>0

Solution

x^{2} - x > 0

Solution

x < 0 or 0 < x < 1 or x > 1

+1

Interval Notation

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

Solution steps

x^{2} - x > 0

Apply absolute rule: If

∣ u ∣ > 0

then

u < 0

or

u > 0

x^{2} - x < 0 or x^{2} - x > 0

x^{2} - x < 0 or x^{2} - x > 0

0 < x < 1 or (x < 0 or x > 1)

Merge Overlapping Intervals

x < 0 or 0 < x < 1 or x > 1

Popular Examples

simplify 3\sqrt[3]{81}-2\sqrt[3]{54}simplify

(-x+2)/(x-7)>= 0

\frac{- x + 2}{x - 7} \geq 0

factor b^2-8b+15 factor

b^{2} - 8 b + 15

x^{2} - 12 = x

simplify (-1+2i)/(5-6i)simplify

\frac{- 1 + 2 i}{5 - 6 i}

Frequently Asked Questions (FAQ)

What is |x^2-x|>0 ?
The solution to |x^2-x|>0 is x<0\lor 0<x<1\lor x>1