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Popular >

x(x^2+1)>= 2

Solution

x (x^{2} + 1) \geq 2

Solution

x \geq 1

+1

Interval Notation

[1, \infty)

Solution steps

x (x^{2} + 1) \geq 2

Rewrite in standard form

x^{3} + x - 2 \geq 0

Factor

x^{3} + x - 2 : (x - 1) (x^{2} + x + 2)

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

Identify the intervals

x \geq 1

Popular Examples

((x^2+7x+10))/((x^2-4))>= 0

\frac{( x ^{2} + 7 x + 10 )}{( x ^{2} - 4 )} \geq 0

6x^3+x^2-54x+56<0

6 x^{3} + x^{2} - 54 x + 56 < 0

x/((x-3))< 9/((4x+3))

\frac{x}{( x - 3 )} < \frac{9}{( 4 x + 3 )}

((x-4))/((x+2))>= ((x-5))/((x+4))

\frac{( x - 4 )}{( x + 2 )} \geq \frac{( x - 5 )}{( x + 4 )}

x^3+9x^2<=-26x-24

x^{3} + 9 x^{2} \leq - 26 x - 24

Frequently Asked Questions (FAQ)

What is x(x^2+1)>= 2 ?
The solution to x(x^2+1)>= 2 is x>= 1