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Popular >

|x-2|>0

Solution

∣ x - 2 ∣ > 0

Solution

x < 2 or x > 2

+1

Interval Notation

(- \infty, 2) \cup (2, \infty)

Solution steps

∣ x - 2 ∣ > 0

Apply absolute rule: If

∣ u ∣ > 0

then

u < 0

or

u > 0

x - 2 < 0 or x - 2 > 0

x - 2 < 0 or x - 2 > 0

x < 2 or x > 2

Popular Examples

factor x^3-2x^2+6x-5 factor

x^{3} - 2 x^{2} + 6 x - 5

simplify-2(1/2)^{-1}simplify

- 2 (\frac{1}{2})^{- 1}

- 7 x < 21

factor 2x^3-12x^2y-14xy^2 factor

2 x^{3} - 12 x^{2} y - 14 x y^{2}

x^{2} - 11 x < 12

Frequently Asked Questions (FAQ)

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