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Popular >

(x^3+1)/(x+1)>0

Solution

\frac{x ^{3} + 1}{x + 1} > 0

Solution

True for all x

+1

Interval Notation

(- \infty, \infty)

Solution steps

\frac{x ^{3} + 1}{x + 1} > 0

Factor

\frac{x ^{3} + 1}{x + 1} : (x - \frac{1}{2})^{2} + \frac{3}{4} > 0

(x - \frac{1}{2})^{2} + \frac{3}{4} > 0

Move

\frac{3}{4}

to the right side

(x - \frac{1}{2})^{2} > - \frac{3}{4}

If n is even,

u^{n} \geq 0

for all

u

True for all x

Popular Examples

factor a^3-a factor

a^{3} - a

factor 15n^2-n-28 factor

15 n^{2} - n - 28

(x-2)/3-(x-3)/4 =(x-4)/5

\frac{x - 2}{3} - \frac{x - 3}{4} = \frac{x - 4}{5}

simplify 1/2*4/5 simplify

\frac{1}{2} \cdot \frac{4}{5}

x^{2} + 9 > 6 x

Frequently Asked Questions (FAQ)

What is (x^3+1)/(x+1)>0 ?
The solution to (x^3+1)/(x+1)>0 is True for all x