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Popular >

-|3+3x|+8<-4

Solution

- ∣ 3 + 3 x ∣ + 8 < - 4

Solution

x < - 5 or x > 3

+1

Interval Notation

(- \infty, - 5) \cup (3, \infty)

Solution steps

- ∣ 3 + 3 x ∣ + 8 < - 4

Move

8

to the right side

- ∣ 3 + 3 x ∣ < - 12

Multiply both sides by

- 1

∣ 3 + 3 x ∣ > 12

Apply absolute rule: If

∣ u ∣ > a, a > 0

then

u < - a

or

u > a

3 + 3 x < - 12 or 3 + 3 x > 12

3 + 3 x < - 12 or 3 + 3 x > 12

x < - 5 or x > 3

Popular Examples

- 2 (k + 3) = 0

x^{2} + x < 12

- 13 x - 7 = 3 x + 233

20 > - 2 x - 4

factor x^2+16x factor

x^{2} + 16 x

Frequently Asked Questions (FAQ)

What is -|3+3x|+8<-4 ?
The solution to -|3+3x|+8<-4 is x<-5\lor x>3