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Popular >

|(x-8)/2 |>1

Solution

\frac{x - 8}{2} > 1

Solution

x < 6 or x > 10

+1

Interval Notation

(- \infty, 6) \cup (10, \infty)

Solution steps

\frac{x - 8}{2} > 1

Apply absolute rule: If

∣ u ∣ > a, a > 0

then

u < - a

or

u > a

\frac{x - 8}{2} < - 1 or \frac{x - 8}{2} > 1

\frac{x - 8}{2} < - 1 or \frac{x - 8}{2} > 1

x < 6 or x > 10

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Frequently Asked Questions (FAQ)

What is |(x-8)/2 |>1 ?
The solution to |(x-8)/2 |>1 is x<6\lor x>10