Question

Let Y = {1,2,3,4,5}, A = {1,2}, B={3,4,5} and ∅ denote the null set. If A x B denotes
the Cartesian product sets A and B, then ( Y x A) ∩ (Y x B) is​

Answer 1

(A x B) = {(1,3),(1,4),(1,5),(2,3),(2,4)(2,5)}

( Y x A) ∩ (Y x B) is ∅

Step-by-step explanation:

(A x B) = {(1,3),(1,4),(1,5),(2,3),(2,4)(2,5)}

( Y x A) ∩ (Y x B)

{(1,1),(1,2),(2,1),(2,2),(3,1),(3,2),(4,1),(4,2),(5,1),(5,2)} ∩ {(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,3),(3,4),(3,5),(4,3),(4,4),(4,5),(5,3),(5,4),(5,5)}

= { }