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Popular >

(x-7)^2>= 25

Solution

(x - 7)^{2} \geq 25

Solution

x \leq 2 or x \geq 12

+1

Interval Notation

(- \infty, 2] \cup [12, \infty)

Solution steps

(x - 7)^{2} \geq 25

For

u^{n} \geq a

, if

n

is even then

x - 7 \leq - 25 or x - 7 \geq 25

x - 7 \leq - 25 : x \leq 2

x - 7 \geq 25 : x \geq 12

Combine the intervals

x \leq 2 or x \geq 12

Popular Examples

∣ 12 - 4 x ∣ \leq 11

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3 (x - 1)^{2} - 21

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\frac{2 π}{\frac{7}{3}}

simplify (4a^{-2}b^{-3})/(3a^2b^1)simplify

\frac{4 a ^{- 2} b ^{- 3}}{3 a ^{2} b ^{1}}

x^{2} + 10 x = 30

Frequently Asked Questions (FAQ)

What is (x-7)^2>= 25 ?
The solution to (x-7)^2>= 25 is x<= 2\lor x>= 12