en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

|x^2-1|<2

Solution

x^{2} - 1 < 2

Solution

- 3 < x < 3

+2

Interval Notation

(- 3, 3)

Decimal Notation

- 1.73205 \dots < x < 1.73205 \dots

Solution steps

x^{2} - 1 < 2

Apply absolute rule: If

∣ u ∣ < a, a > 0

then

- a < u < a

- 2 < x^{2} - 1 < 2

x^{2} - 1 > - 2 and x^{2} - 1 < 2

True for all x and - 3 < x < 3

Merge Overlapping Intervals

- 3 < x < 3

Popular Examples

factor 12x^2+8x factor

12 x^{2} + 8 x

y^{2} + 6 y - 7 = 0

factor 4s^2-1 factor

4 s^{2} - 1

simplify-4-6x^3+3y^2+3+2-x^3-5y^2 simplify

- 4 - 6 x^{3} + 3 y^{2} + 3 + 2 - x^{3} - 5 y^{2}

0 \leq θ < 2 π

Frequently Asked Questions (FAQ)

What is |x^2-1|<2 ?
The solution to |x^2-1|<2 is -sqrt(3)<x<sqrt(3)