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Popular >

|x-3|>= 2

Solution

∣ x - 3 ∣ \geq 2

Solution

x \leq 1 or x \geq 5

+1

Interval Notation

(- \infty, 1] \cup [5, \infty)

Solution steps

∣ x - 3 ∣ \geq 2

Apply absolute rule: If

∣ u ∣ \geq a, a > 0

then

u \leq - a

or

u \geq a

x - 3 \leq - 2 or x - 3 \geq 2

x - 3 \leq - 2 or x - 3 \geq 2

x \leq 1 or x \geq 5

Popular Examples

150 = - 9 x - 6 x

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factor 30x^2+5x-10 factor

30 x^{2} + 5 x - 10

Frequently Asked Questions (FAQ)

What is |x-3|>= 2 ?
The solution to |x-3|>= 2 is x<= 1\lor x>= 5