if:X={-1,0,1},Y={1,2} find XxY

Question

if:X={-1,0,1},Y={1,2} find XxY and represent it by cartesian diagram

Answer 1

From the "Naive set theory" topic in Wikipedia:

 

"If A and B are sets, then the Cartesian product (or simply product) is defined to be:

A × B = {(a,b) : a is in A and b is in B}.

That is, A × B is the set of all ordered pairs whose first coordinate is an element of A and whose second coordinate is an element of B."

 

So, if X={-1,0,1} and Y={1,2}, then

 

X x Y = {(-1,1),(-1,2),(0,1),(0,2),(1,1),(1,2)}

Answer 2

 X x X = {1}