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Popular >

((6))/((x^2-4x+4))>0

Solution

\frac{( 6 )}{( x ^{2} - 4 x + 4 )} > 0

Solution

x < 2 or x > 2

+1

Interval Notation

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

Solution steps

\frac{6}{x ^{2} - 4 x + 4} > 0

Divide both sides by

6

\frac{\frac{6}{x ^{2} - 4 x + 4}}{6} > \frac{0}{6}

Simplify

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

If

\frac{1}{a} > 0

then

a > 0

x^{2} - 4 x + 4 > 0

Factor

x^{2} - 4 x + 4 : (x - 2)^{2}

(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

1/(2(4x+14))<3x-6

\frac{1}{2 ( 4 x + 14 )} < 3 x - 6

((3p+5))/((5p-9))> 2/7

\frac{( 3 p + 5 )}{( 5 p - 9 )} > \frac{2}{7}

(a - 2) (3 a) < 0

((x+5))/((1-x))>= 0

\frac{( x + 5 )}{( 1 - x )} \geq 0

x/((x^2-5x+9))<= 1

\frac{x}{( x ^{2} - 5 x + 9 )} \leq 1

Frequently Asked Questions (FAQ)

What is ((6))/((x^2-4x+4))>0 ?
The solution to ((6))/((x^2-4x+4))>0 is x<2\lor x>2