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Popular >

-5|x+5|<-4

Solution

- 5 ∣ x + 5 ∣ < - 4

Solution

x < - \frac{29}{5} or x > - \frac{21}{5}

+2

Interval Notation

(- \infty, - \frac{29}{5}) \cup (- \frac{21}{5}, \infty)

Decimal Notation

x < - 5.8 or x > - 4.2

Solution steps

- 5 ∣ x + 5 ∣ < - 4

Multiply both sides by

- 1

5 ∣ x + 5 ∣ > 4

Divide both sides by

5

∣ x + 5 ∣ > \frac{4}{5}

Apply absolute rule: If

∣ u ∣ > a, a > 0

then

u < - a

or

u > a

x + 5 < - \frac{4}{5} or x + 5 > \frac{4}{5}

x + 5 < - \frac{4}{5} or x + 5 > \frac{4}{5}

x < - \frac{29}{5} or x > - \frac{21}{5}

Popular Examples

factor 9y^2-x^2-8x-16 factor

9 y^{2} - x^{2} - 8 x - 16

factor 6x^2+3x-63 factor

6 x^{2} + 3 x - 63

\frac{2 x - 3}{4} > 5

simplify 9.3*10^7-3.4*10^6 simplify

9.3 \cdot 1 0^{7} - 3.4 \cdot 1 0^{6}

4 x^{2} + 24 = 0

Frequently Asked Questions (FAQ)

What is -5|x+5|<-4 ?
The solution to -5|x+5|<-4 is x<-29/5 \lor x>-21/5