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Popular >

(10)/(x^2+2)>0

Solution

\frac{10}{x ^{2} + 2} > 0

Solution

True for all x

+1

Interval Notation

(- \infty, \infty)

Solution steps

\frac{10}{x ^{2} + 2} > 0

Divide both sides by

10

\frac{\frac{10}{x ^{2} + 2}}{10} > \frac{0}{10}

Simplify

\frac{1}{x ^{2} + 2} > 0

If

\frac{1}{a} > 0

then

a > 0

x^{2} + 2 > 0

Move

2

to the right side

x^{2} > - 2

If n is even,

u^{n} \geq 0

for all

u

True for all x

Popular Examples

\frac{2 x + 4}{2} = x + 2

simplify (x^{-1})/((x+x^{-1))^{-1}}simplify

\frac{x ^{- 1}}{( x + x ^{- 1} ) ^{- 1}}

simplify (-5/2)^2+5(-5/2)+6 simplify

(- \frac{5}{2})^{2} + 5 (- \frac{5}{2}) + 6

factor 4x^2+4x-15 factor

4 x^{2} + 4 x - 15

simplify (12!)/(7!5!)simplify

\frac{12 !}{7 ! 5 !}

Frequently Asked Questions (FAQ)

What is (10)/(x^2+2)>0 ?
The solution to (10)/(x^2+2)>0 is True for all x