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Popular >

(x-2)^2-9>= 0

Solution

(x - 2)^{2} - 9 \geq 0

Solution

x \leq - 1 or x \geq 5

+1

Interval Notation

(- \infty, - 1] \cup [5, \infty)

Solution steps

(x - 2)^{2} - 9 \geq 0

Move

9

to the right side

(x - 2)^{2} \geq 9

For

u^{n} \geq a

, if

n

is even then

x - 2 \leq - 9 or x - 2 \geq 9

x - 2 \leq - 9 : x \leq - 1

x - 2 \geq 9 : x \geq 5

Combine the intervals

x \leq - 1 or x \geq 5

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Frequently Asked Questions (FAQ)

What is (x-2)^2-9>= 0 ?
The solution to (x-2)^2-9>= 0 is x<=-1\lor x>= 5