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Popular >

|z-6|>= 3

Solution

∣ z - 6 ∣ \geq 3

Solution

z \leq 3 or z \geq 9

+1

Interval Notation

(- \infty, 3] \cup [9, \infty)

Solution steps

∣ z - 6 ∣ \geq 3

Apply absolute rule: If

∣ u ∣ \geq a, a > 0

then

u \leq - a

or

u \geq a

z - 6 \leq - 3 or z - 6 \geq 3

z - 6 \leq - 3 or z - 6 \geq 3

z \leq 3 or z \geq 9

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4 (\frac{1}{2})^{2}

Frequently Asked Questions (FAQ)

What is |z-6|>= 3 ?
The solution to |z-6|>= 3 is z<= 3\lor z>= 9