Question

If R is an relation from A to , which of the following is correct
A)R=AuB
B)R=AnB
C) Rc_ A*B
D) Rc_B*A

Answer 1

the answer is R_AnB of this answer

Answer 2

Relation R from set A to B is denoted by (c)A*B.

Explanation:

• A relation from set A to set B is consists of all possible ordered pairs such that each element from the ordered pair belongs to each of the sets in the order of relation.
• For example, let A{1,2,3} and B{p, q} then the relation R from A to B is given by,
• $R:A\rightarrow B\\R=\{(a,b): a\in A, b\in B\}\\R=\{(1,p)(1,q)(2,p)(2,q)(3,p)(3,q)\}$  
• Hence the relation from A to B can also be denoted as the cross product of A and B as AxB
• Hence, the correct option is (c)R->A*B