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Popular >

|x+3|>= 5

Solution

∣ x + 3 ∣ \geq 5

Solution

x \leq - 8 or x \geq 2

+1

Solution steps

∣ x + 3 ∣ \geq 5

Apply absolute rule: If

∣ u ∣ \geq a, a > 0

then

u \leq - a

or

u \geq a

x + 3 \leq - 5 or x + 3 \geq 5

x + 3 \leq - 5 or x + 3 \geq 5

x \leq - 8 or x \geq 2

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Frequently Asked Questions (FAQ)

What is |x+3|>= 5 ?
The solution to |x+3|>= 5 is x<=-8\lor x>= 2