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Popular >

|x-2|>= 8

Solution

∣ x - 2 ∣ \geq 8

Solution

x \leq - 6 or x \geq 10

+1

Interval Notation

(- \infty, - 6] \cup [10, \infty)

Solution steps

∣ x - 2 ∣ \geq 8

Apply absolute rule: If

∣ u ∣ \geq a, a > 0

then

u \leq - a

or

u \geq a

x - 2 \leq - 8 or x - 2 \geq 8

x - 2 \leq - 8 or x - 2 \geq 8

x \leq - 6 or x \geq 10

Popular Examples

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\frac{2 ^{n} \cdot 9 ^{2 n + 1}}{6 ^{n - 2}}

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2 e^{- 5}

0.01^{2x+1}>= 0.1^{x-4}

0.0 1^{2 x + 1} \geq 0. 1^{x - 4}

simplify (3-i)^2 simplify

(3 - i)^{2}

Frequently Asked Questions (FAQ)

What is |x-2|>= 8 ?
The solution to |x-2|>= 8 is x<=-6\lor x>= 10