en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

|x+7|<5

Solution

∣ x + 7 ∣ < 5

Solution

- 12 < x < - 2

+1

Interval Notation

(- 12, - 2)

Solution steps

∣ x + 7 ∣ < 5

Apply absolute rule: If

∣ u ∣ < a, a > 0

then

- a < u < a

- 5 < x + 7 < 5

x + 7 > - 5 and x + 7 < 5

x > - 12 and x < - 2

Merge Overlapping Intervals

- 12 < x < - 2

Popular Examples

factor 2x^2-25x-13 factor

2 x^{2} - 25 x - 13

simplify ((1.01)^3-1)/((1.01)-1)simplify

\frac{( 1.01 ) ^{3} - 1}{( 1.01 ) - 1}

3 x - \frac{1}{x} \leq 2

simplify (13!)/(3!(13-3)!)simplify

\frac{13 !}{3 ! ( 13 - 3 ) !}

x^{2} + 8 x = 0

Frequently Asked Questions (FAQ)

What is |x+7|<5 ?
The solution to |x+7|<5 is -12<x<-2