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Popular >

-4|x+6|<-3

Solution

- 4 ∣ x + 6 ∣ < - 3

Solution

x < - \frac{27}{4} or x > - \frac{21}{4}

+2

Interval Notation

(- \infty, - \frac{27}{4}) \cup (- \frac{21}{4}, \infty)

Decimal Notation

x < - 6.75 or x > - 5.25

Solution steps

- 4 ∣ x + 6 ∣ < - 3

Multiply both sides by

- 1

4 ∣ x + 6 ∣ > 3

Divide both sides by

4

∣ x + 6 ∣ > \frac{3}{4}

Apply absolute rule: If

∣ u ∣ > a, a > 0

then

u < - a

or

u > a

x + 6 < - \frac{3}{4} or x + 6 > \frac{3}{4}

x + 6 < - \frac{3}{4} or x + 6 > \frac{3}{4}

x < - \frac{27}{4} or x > - \frac{21}{4}

Popular Examples

simplify ln(1.4)simplify

ln (1.4)

6(5k-8)-20=11(2k-3+3k)+3k

6 (5 k - 8) - 20 = 11 (2 k - 3 + 3 k) + 3 k

x^{2} - 20 x + 96 = 0

5 - 6 x = 17 - 8 x

\frac{b}{6} - 2 = 4

Frequently Asked Questions (FAQ)

What is -4|x+6|<-3 ?
The solution to -4|x+6|<-3 is x<-27/4 \lor x>-21/4