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Popular >

6/((x-2)^2)>0

Solution

\frac{6}{( x - 2 ) ^{2}} > 0

Solution

x < 2 or x > 2

+1

Interval Notation

(- \infty, 2) \cup (2, \infty)

Solution steps

\frac{6}{( x - 2 ) ^{2}} > 0

Divide both sides by

6

\frac{\frac{6}{( x - 2 ) ^{2}}}{6} > \frac{0}{6}

Simplify

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

If

\frac{1}{a} > 0

then

a > 0

(x - 2)^{2} > 0

For

u^{n} > 0

, if

n

is even then

u < 0

or

u > 0

x - 2 < 0 or x - 2 > 0

x - 2 < 0 : x < 2

x - 2 > 0 : x > 2

Combine the intervals

x < 2 or x > 2

Popular Examples

factor 9x^4+6x^2+1 factor

9 x^{4} + 6 x^{2} + 1

x^{2} - 7 x = 6 x

simplify (2+6i)/(1+i)simplify

\frac{2 + 6 i}{1 + i}

2 x^{2} - 2 x - 3 = 0

simplify (-5)^1 simplify

(- 5)^{1}

Frequently Asked Questions (FAQ)

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