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Popular >

|x-7|>= 2

Solution

∣ x - 7 ∣ \geq 2

Solution

x \leq 5 or x \geq 9

+1

Interval Notation

(- \infty, 5] \cup [9, \infty)

Solution steps

∣ x - 7 ∣ \geq 2

Apply absolute rule: If

∣ u ∣ \geq a, a > 0

then

u \leq - a

or

u \geq a

x - 7 \leq - 2 or x - 7 \geq 2

x - 7 \leq - 2 or x - 7 \geq 2

x \leq 5 or x \geq 9

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Frequently Asked Questions (FAQ)

What is |x-7|>= 2 ?
The solution to |x-7|>= 2 is x<= 5\lor x>= 9