I have a simple problem. I need to show how one set is contained in another.
Set A= (x,y) is an element R^2: y>2x+1
Set B= (x,y) is an element R^2: y>(x+1)^2
I need to show that set B is contained with set B
Can anyone help?
Thx
i don't know whether this method is correct, but just trying, please tell me if i'm making anything wrong
take any $\displaystyle (x,y)\in B$
$\displaystyle y>(x+1)^2>2x+1 \implies y>2x+1$
$\displaystyle \therefore$ $\displaystyle (x,y)\in A$
$\displaystyle \therefore B \subset A$