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Popular >

|x-5|>= 4

Solution

∣ x - 5 ∣ \geq 4

Solution

x \leq 1 or x \geq 9

+1

Interval Notation

(- \infty, 1] \cup [9, \infty)

Solution steps

∣ x - 5 ∣ \geq 4

Apply absolute rule: If

∣ u ∣ \geq a, a > 0

then

u \leq - a

or

u \geq a

x - 5 \leq - 4 or x - 5 \geq 4

x - 5 \leq - 4 or x - 5 \geq 4

x \leq 1 or x \geq 9

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Frequently Asked Questions (FAQ)

What is |x-5|>= 4 ?
The solution to |x-5|>= 4 is x<= 1\lor x>= 9