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Popular >

-2|x+5|<-5

Solution

- 2 ∣ x + 5 ∣ < - 5

Solution

x < - \frac{15}{2} or x > - \frac{5}{2}

+2

Interval Notation

(- \infty, - \frac{15}{2}) \cup (- \frac{5}{2}, \infty)

Decimal Notation

x < - 7.5 or x > - 2.5

Solution steps

- 2 ∣ x + 5 ∣ < - 5

Multiply both sides by

- 1

2 ∣ x + 5 ∣ > 5

Divide both sides by

2

∣ x + 5 ∣ > \frac{5}{2}

Apply absolute rule: If

∣ u ∣ > a, a > 0

then

u < - a

or

u > a

x + 5 < - \frac{5}{2} or x + 5 > \frac{5}{2}

x + 5 < - \frac{5}{2} or x + 5 > \frac{5}{2}

x < - \frac{15}{2} or x > - \frac{5}{2}

Popular Examples

3 x^{2} - 2 x - 8 > 0

simplify 3/4-1/5*3/2 simplify

\frac{3}{4} - \frac{1}{5} \cdot \frac{3}{2}

48 + 16 t - 16 t^{2} = 0

x^{2} - 7 x + 10 = 0

- 6 (t) + 24 = 0

Frequently Asked Questions (FAQ)

What is -2|x+5|<-5 ?
The solution to -2|x+5|<-5 is x<-15/2 \lor x>-5/2