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Popular >

1-n^2<0

Solution

1 - n^{2} < 0

Solution

n < - 1 or n > 1

+1

Interval Notation

(- \infty, - 1) \cup (1, \infty)

Solution steps

1 - n^{2} < 0

Factor

1 - n^{2} : - (n + 1) (n - 1)

- (n + 1) (n - 1) < 0

Multiply both sides by

- 1

(reverse the inequality)

(- (n + 1) (n - 1)) (- 1) > 0 \cdot (- 1)

Simplify

(n + 1) (n - 1) > 0

Identify the intervals

n < - 1 or n > 1

Popular Examples

factor 2a^2+12ab+6b^2 factor

2 a^{2} + 12 ab + 6 b^{2}

4 x + 5 = 13

x+sqrt(x^2-1)<5

x + x^{2} - 1 < 5

simplify sqrt(124)simplify

124

factor y^2+9y+20 factor

y^{2} + 9 y + 20

Frequently Asked Questions (FAQ)

What is 1-n^2<0 ?
The solution to 1-n^2<0 is n<-1\lor n>1