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Popular >

-x<x^2<6

Solution

- x < x^{2} < 6

Solution

- 6 < x < - 1 or 0 < x < 6

+2

Interval Notation

(- 6, - 1) \cup (0, 6)

Decimal Notation

- 2.44948 \dots < x < - 1 or 0 < x < 2.44948 \dots

Solution steps

- x < x^{2} < 6

If

a < u < b

then

a < u and u < b

- x < x^{2} and x^{2} < 6

- x < x^{2} : x < - 1 or x > 0

x^{2} < 6 : - 6 < x < 6

Combine the intervals

(x < - 1 or x > 0) and - 6 < x < 6

Merge Overlapping Intervals

- 6 < x < - 1 or 0 < x < 6

Popular Examples

2 x - 3 < 3 x - 5 < 2 x + 3

-2<= 1/2-2 x/3 <= 11/6

- 2 \leq \frac{1}{2} - 2 \frac{x}{3} \leq \frac{11}{6}

((-x+3)}{2-2}<= \frac{(3(x+2)))/5 <= x/6

\frac{( - x + 3 )}{2 - 2} \leq \frac{( 3 ( x + 2 ) )}{5} \leq \frac{x}{6}

7<2(x^2)+1<= 19

7 < 2 (x^{2}) + 1 \leq 19

2x-3<x+1<= 4x+7

2 x - 3 < x + 1 \leq 4 x + 7

Frequently Asked Questions (FAQ)

What is -x<x^2<6 ?
The solution to -x<x^2<6 is -sqrt(6)<x<-1\lor 0<x<sqrt(6)