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Popular >

|2x-4|>= 8

Solution

∣ 2 x - 4 ∣ \geq 8

Solution

x \leq - 2 or x \geq 6

+1

Interval Notation

(- \infty, - 2] \cup [6, \infty)

Solution steps

∣ 2 x - 4 ∣ \geq 8

Apply absolute rule: If

∣ u ∣ \geq a, a > 0

then

u \leq - a

or

u \geq a

2 x - 4 \leq - 8 or 2 x - 4 \geq 8

2 x - 4 \leq - 8 or 2 x - 4 \geq 8

x \leq - 2 or x \geq 6

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Frequently Asked Questions (FAQ)

What is |2x-4|>= 8 ?
The solution to |2x-4|>= 8 is x<=-2\lor x>= 6