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Popular >

|x-8|>= 5

Solution

∣ x - 8 ∣ \geq 5

Solution

x \leq 3 or x \geq 13

+1

Interval Notation

(- \infty, 3] \cup [13, \infty)

Solution steps

∣ x - 8 ∣ \geq 5

Apply absolute rule: If

∣ u ∣ \geq a, a > 0

then

u \leq - a

or

u \geq a

x - 8 \leq - 5 or x - 8 \geq 5

x - 8 \leq - 5 or x - 8 \geq 5

x \leq 3 or x \geq 13

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Frequently Asked Questions (FAQ)

What is |x-8|>= 5 ?
The solution to |x-8|>= 5 is x<= 3\lor x>= 13