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Popular >

4|9+2x|-2>18

Solution

4 ∣ 9 + 2 x ∣ - 2 > 18

Solution

x < - 7 or x > - 2

+1

Interval Notation

(- \infty, - 7) \cup (- 2, \infty)

Solution steps

4 ∣ 9 + 2 x ∣ - 2 > 18

Move

2

to the right side

4 ∣ 9 + 2 x ∣ > 20

Divide both sides by

4

∣ 9 + 2 x ∣ > 5

Apply absolute rule: If

∣ u ∣ > a, a > 0

then

u < - a

or

u > a

9 + 2 x < - 5 or 9 + 2 x > 5

9 + 2 x < - 5 or 9 + 2 x > 5

x < - 7 or x > - 2

Popular Examples

factor 49x^2-81y^2 factor

49 x^{2} - 81 y^{2}

factor 2y^2-7y+6 factor

2 y^{2} - 7 y + 6

3 x + 10 = 4

simplify sqrt(192)+sqrt(27)simplify

192 + 27

x^{2} - 35 > - 2 x

Frequently Asked Questions (FAQ)

What is 4|9+2x|-2>18 ?
The solution to 4|9+2x|-2>18 is x<-7\lor x>-2