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Popular >

|(x+1)/2 |>= 1

Solution

\frac{x + 1}{2} \geq 1

Solution

x \leq - 3 or x \geq 1

+1

Interval Notation

(- \infty, - 3] \cup [1, \infty)

Solution steps

\frac{x + 1}{2} \geq 1

Apply absolute rule: If

∣ u ∣ \geq a, a > 0

then

u \leq - a

or

u \geq a

\frac{x + 1}{2} \leq - 1 or \frac{x + 1}{2} \geq 1

\frac{x + 1}{2} \leq - 1 or \frac{x + 1}{2} \geq 1

x \leq - 3 or x \geq 1

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simplify-|-13|simplify

- ∣ - 13 ∣

Frequently Asked Questions (FAQ)

What is |(x+1)/2 |>= 1 ?
The solution to |(x+1)/2 |>= 1 is x<=-3\lor x>= 1