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Popular >

|x-6|>3

Solution

∣ x - 6 ∣ > 3

Solution

x < 3 or x > 9

+1

Interval Notation

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

Solution steps

∣ x - 6 ∣ > 3

Apply absolute rule: If

∣ u ∣ > a, a > 0

then

u < - a

or

u > a

x - 6 < - 3 or x - 6 > 3

x - 6 < - 3 or x - 6 > 3

x < 3 or x > 9

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factor x^3+5x^2-17x-21 factor

x^{3} + 5 x^{2} - 17 x - 21

Frequently Asked Questions (FAQ)

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