Can someone verify this

[flamathdummy]

Is this right???


4x^2 – 8x > 0
4(x^2 – 2x) > 0
4 4
x^2 – 2x > 0

x^2 -2x > 0
x^2 -2x =1 > 1

sqrt(x-1)^2 >sqrt 1

x-1 > +1

x > 0 or x > 2

(-infinity, 0) U (2, infinity)

 

[flamathdummy]

there are some typos but the answer is correct, except that it's the union of the intervals (-infinity, 0] and [2, +infinity)

I saw a couple of typos where the = sign is where the + should be...but other than it is good?

I appreciate the help.