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Popular >

-1<x^2+2x<3

Solution

- 1 < x^{2} + 2 x < 3

Solution

- 3 < x < - 1 or - 1 < x < 1

+1

Interval Notation

(- 3, - 1) \cup (- 1, 1)

Solution steps

- 1 < x^{2} + 2 x < 3

If

a < u < b

then

a < u and u < b

- 1 < x^{2} + 2 x and x^{2} + 2 x < 3

- 1 < x^{2} + 2 x : x < - 1 or x > - 1

x^{2} + 2 x < 3 : - 3 < x < 1

Combine the intervals

(x < - 1 or x > - 1) and - 3 < x < 1

Merge Overlapping Intervals

- 3 < x < - 1 or - 1 < x < 1

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Frequently Asked Questions (FAQ)

What is -1<x^2+2x<3 ?
The solution to -1<x^2+2x<3 is -3<x<-1\lor-1<x<1