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Popular >

|x-2|>= 2

Solution

∣ x - 2 ∣ \geq 2

Solution

x \leq 0 or x \geq 4

+1

Interval Notation

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

Solution steps

∣ x - 2 ∣ \geq 2

Apply absolute rule: If

∣ u ∣ \geq a, a > 0

then

u \leq - a

or

u \geq a

x - 2 \leq - 2 or x - 2 \geq 2

x - 2 \leq - 2 or x - 2 \geq 2

x \leq 0 or x \geq 4

Popular Examples

factor 5x^4-5 factor

5 x^{4} - 5

simplify-2-2/3 simplify

- 2 - \frac{2}{3}

simplify (2/3)^{-0.75}simplify

(\frac{2}{3})^{- 0.75}

factor 3n^2-7n+2 factor

3 n^{2} - 7 n + 2

simplify (5^{2/5})^{7/2}simplify

(5^{\frac{2}{5}})^{\frac{7}{2}}

Frequently Asked Questions (FAQ)

What is |x-2|>= 2 ?
The solution to |x-2|>= 2 is x<= 0\lor x>= 4