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Popular >

|x+5|>= 2

Solution

∣ x + 5 ∣ \geq 2

Solution

x \leq - 7 or x \geq - 3

+1

Interval Notation

(- \infty, - 7] \cup [- 3, \infty)

Solution steps

∣ x + 5 ∣ \geq 2

Apply absolute rule: If

∣ u ∣ \geq a, a > 0

then

u \leq - a

or

u \geq a

x + 5 \leq - 2 or x + 5 \geq 2

x + 5 \leq - 2 or x + 5 \geq 2

x \leq - 7 or x \geq - 3

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Frequently Asked Questions (FAQ)

What is |x+5|>= 2 ?
The solution to |x+5|>= 2 is x<=-7\lor x>=-3