let A=(1,2,3,7),and B=(3,0,-1,7)the following set R={(2,1),(7,1)}is relation from A to B .
Answers
Answer:
(i) R1 = {(2,1), (7,1)}
(ii) R2 = {(-1,1)}
(iii) R3 = {(2,-1), (7, 7), (1,3)
(iv) R4 = {(7, -1), (0, 3), (3, 3), (0, 7)
Step-by-step explanation:
A = {1,2,3,7} B = {3,0,-1, 7} A x B = {1,2,3} x {3, 0,-1, 7} A x B = {(1,3) (1,0) (1,-1) (1,7) (2,3) (2, 0) (2, -1) (2, 7) (3, 3) (3,0) (3,-1) (3, 7) (7, 3) (7, 0) (7,-1) (7, 7)} (i) R1 = {(2, 1)} (7, 1) It is not a relation, there is no element of (2, 1) and (7, 1) in A × B (ii) R2 = {(-1),(1)} It is not a relation, there is no element of (-1, 1) in A × B (iii) R3 = {(2,-1) (7, 7) (1,3)} Yes, It is a relation (iv) R4 = {(7,-1) (0,3) (3, 3) (0,7)} It is not a relation, there is no element of (0, 3) and (0, 7) in A × BRead more on Sarthaks.com - https://www.sarthaks.com/932474/let-a-1-2-3-7-and-b-3-0-1-7-which-of-the-following-are-relation-from-a-to-b-i-r1-2-1-7-1-ii-r2-1-1