Answer to Question #54789 in Abstract Algebra for Joseph

Question

1 Four sets X, Y, V and W has u, 7, h, 20 and t elements respectively, how many elements has the Cartesian product (Y x V x W) formed from the sets Y, V and W
2 Consider a relation * defined on (a,b),(c,d)ϵR 2 by (a,b)∗(c,d) to mean 2a−b=2c−d
which of the following is true about *
(a) is only symmetric (b) is only reflexive and transitive (c) is only symmetric and Transitive (d) Is reflexive, symmetric and transitive
3 Let R be the universal set and suppose that X={yϵR:0<y≤7} and Y={yϵR:6≤y<12}
find X\Y