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Popular >

|x+9|>3

Solution

∣ x + 9 ∣ > 3

Solution

x < - 12 or x > - 6

+1

Interval Notation

(- \infty, - 12) \cup (- 6, \infty)

Solution steps

∣ x + 9 ∣ > 3

Apply absolute rule: If

∣ u ∣ > a, a > 0

then

u < - a

or

u > a

x + 9 < - 3 or x + 9 > 3

x + 9 < - 3 or x + 9 > 3

x < - 12 or x > - 6

Popular Examples

- 5 x^{2} + 6 x - 1 = 0

x - \frac{1}{2} \leq x - \frac{1}{3}

-8(w+1)=2(1-4w)-9

- 8 (w + 1) = 2 (1 - 4 w) - 9

((5)^2-25)/((5)-5)

\frac{( 5 ) ^{2} - 25}{( 5 ) - 5}

simplify (8(100+9/2 pi))/(27)-8000/27 simplify

\frac{8 ( 100 + \frac{9}{2} π )}{27} - \frac{8000}{27}

Frequently Asked Questions (FAQ)

What is |x+9|>3 ?
The solution to |x+9|>3 is x<-12\lor x>-6