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Popular >

|x^2|<1

Solution

x^{2} < 1

Solution

- 1 < x < 1

+1

Interval Notation

(- 1, 1)

Solution steps

x^{2} < 1

Apply absolute rule: If

∣ u ∣ < a, a > 0

then

- a < u < a

- 1 < x^{2} < 1

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

True for all x and - 1 < x < 1

Merge Overlapping Intervals

- 1 < x < 1

Popular Examples

factor p^3+q^3 factor

p^{3} + q^{3}

2 x^{2} + x - 1 \geq 0

3z-2>=-1(-5z-2)+4

3 z - 2 \geq - 1 (- 5 z - 2) + 4

(x+3)(x-3)=5(x+2)+31

(x + 3) (x - 3) = 5 (x + 2) + 31

simplify (x^2-y^2)/(3x)*(3y)/(x+y)simplify

\frac{x ^{2} - y ^{2}}{3 x} \cdot \frac{3 y}{x + y}

Frequently Asked Questions (FAQ)

What is |x^2|<1 ?
The solution to |x^2|<1 is -1<x<1