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Popular >

3|x+9|-4>14

Solution

3 ∣ x + 9 ∣ - 4 > 14

Solution

x < - 15 or x > - 3

+1

Interval Notation

(- \infty, - 15) \cup (- 3, \infty)

Solution steps

3 ∣ x + 9 ∣ - 4 > 14

Move

4

to the right side

3 ∣ x + 9 ∣ > 18

Divide both sides by

3

∣ x + 9 ∣ > 6

Apply absolute rule: If

∣ u ∣ > a, a > 0

then

u < - a

or

u > a

x + 9 < - 6 or x + 9 > 6

x + 9 < - 6 or x + 9 > 6

x < - 15 or x > - 3

Graph

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3 k - 14 = 3 (k - 5) + 1

\frac{1}{2} \cdot (\frac{3}{2} - \frac{2}{3})

Frequently Asked Questions (FAQ)

What is 3|x+9|-4>14 ?
The solution to 3|x+9|-4>14 is x<-15\lor x>-3