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Popular >

|x+4|>= 5

Solution

∣ x + 4 ∣ \geq 5

Solution

x \leq - 9 or x \geq 1

+1

Interval Notation

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

Solution steps

∣ x + 4 ∣ \geq 5

Apply absolute rule: If

∣ u ∣ \geq a, a > 0

then

u \leq - a

or

u \geq a

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

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

x \leq - 9 or x \geq 1

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Frequently Asked Questions (FAQ)

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