Question

Let X={a,b,c} and Y={1,2}, list the elements in each set.1) X × Y 2) Y × Y

Answer 1

`X=\mleft\lbrace a,b,c\mright\rbrace;\text{ Y=}\mleft\lbrace1,2\mright\rbrace`

To find the cartesian product of X x Y, we have:

`X\text{ x Y=}\mleft\lbrace(a,1\mright),(a,2),(b,1),(b,2),(c,1),(c,2)\}`

To find the cartesian of Y x Y, we have:

`Y* Y=\mleft\lbrace(1,1\mright),(1,2),(2,1),(2,2)\}`