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Popular >

|2x-8|>6

Solution

∣ 2 x - 8 ∣ > 6

Solution

x < 1 or x > 7

+1

Interval Notation

(- \infty, 1) \cup (7, \infty)

Solution steps

∣ 2 x - 8 ∣ > 6

Apply absolute rule: If

∣ u ∣ > a, a > 0

then

u < - a

or

u > a

2 x - 8 < - 6 or 2 x - 8 > 6

2 x - 8 < - 6 or 2 x - 8 > 6

x < 1 or x > 7

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Frequently Asked Questions (FAQ)

What is |2x-8|>6 ?
The solution to |2x-8|>6 is x<1\lor x>7