question about set theory

Joined
Nov 11, 2009
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2
If I have

B = {{y,z) € R^2:x >0,z>0}, C={{y,z) € R^2:x <0,z>0} and D= {{y,z) € R^2: z>0},

so how I will define B intersection C, B union C, D difference B?
would it be something like;...

let's first examine the case B union C

B C

y is 1, z is 0 union y is -1, z is 1

and result is

y is 1, y is -1, z is 0, z is 1

and I can draw these inside the union circles B and C ?
how should I write those y is 1, y is -1, z is 0, z is 1
like; B U C:= {y,1, -1, z, 0} CORRECT?
 
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