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Popular >

1-|3x+8|<-5

Solution

1 - ∣ 3 x + 8 ∣ < - 5

Solution

x < - \frac{14}{3} or x > - \frac{2}{3}

+2

Interval Notation

(- \infty, - \frac{14}{3}) \cup (- \frac{2}{3}, \infty)

Decimal Notation

x < - 4.66666 \dots or x > - 0.66666 \dots

Solution steps

1 - ∣ 3 x + 8 ∣ < - 5

Move

1

to the right side

- ∣ 3 x + 8 ∣ < - 6

Multiply both sides by

- 1

∣ 3 x + 8 ∣ > 6

Apply absolute rule: If

∣ u ∣ > a, a > 0

then

u < - a

or

u > a

3 x + 8 < - 6 or 3 x + 8 > 6

3 x + 8 < - 6 or 3 x + 8 > 6

x < - \frac{14}{3} or x > - \frac{2}{3}

Popular Examples

simplify e^{2(0)}simplify

e^{2 (0)}

x^{2} + 4 x = 1

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

factor (t+2)^3-64(t+2)factor

(t + 2)^{3} - 64 (t + 2)

factor 24x^2-73x+24 factor

24 x^{2} - 73 x + 24

Frequently Asked Questions (FAQ)

What is 1-|3x+8|<-5 ?
The solution to 1-|3x+8|<-5 is x<-14/3 \lor x>-2/3