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Popular >

1/2 |x|>= 4

Solution

\frac{1}{2} ∣ x ∣ \geq 4

Solution

x \leq - 8 or x \geq 8

+1

Interval Notation

(- \infty, - 8] \cup [8, \infty)

Solution steps

\frac{1}{2} ∣ x ∣ \geq 4

Multiply both sides by

2

∣ x ∣ \geq 8

Apply absolute rule: If

∣ u ∣ \geq a, a > 0

then

u \leq - a

or

u \geq a

x \leq - 8 or x \geq 8

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Frequently Asked Questions (FAQ)

What is 1/2 |x|>= 4 ?
The solution to 1/2 |x|>= 4 is x<=-8\lor x>= 8