1. ## Subset contained

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

2. $(x+1)^2=x^2+(2x+1)$

if something is larger than $(x+1)^2$ then it is larger than $2x+1$

3. Thank you, but I need to determine whether set B is contained within set A.

Maybe I am just having a mental block.

Can anyone clarify?

4. i don't know whether this method is correct, but just trying, please tell me if i'm making anything wrong

take any $(x,y)\in B$

$y>(x+1)^2>2x+1 \implies y>2x+1$

$\therefore$ $(x,y)\in A$

$\therefore B \subset A$