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Popular >

|x-4|>= 7

Solution

∣ x - 4 ∣ \geq 7

Solution

x \leq - 3 or x \geq 11

+1

Solution steps

∣ x - 4 ∣ \geq 7

Apply absolute rule: If

∣ u ∣ \geq a, a > 0

then

u \leq - a

or

u \geq a

x - 4 \leq - 7 or x - 4 \geq 7

x - 4 \leq - 7 or x - 4 \geq 7

x \leq - 3 or x \geq 11

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Frequently Asked Questions (FAQ)

What is |x-4|>= 7 ?
The solution to |x-4|>= 7 is x<=-3\lor x>= 11