Question

how to solve this pls explain

Answer 1

Given,

A = {a,b,c,d}

B = {x,y,z}

a) R from A  into B:- s) R = {(a,y) ,  (b,x) , (c,z) }  

Reason: Domain of  this  relation is  {a,b,c} which is  subset  of  A and Co-domain of  ralation is  {y,x,z} which is  the set  B. Hence, This  relation is  defined from A  to B

a) R from A  into B :- t) R = {(a,x) ,  (a,y) , (a,z)}

Reason:  Domain of  this  relation is  {a,} which is  subset  of  A and Co-domain of  ralation is  {y,x,z} which is  the set  B. Hence, This  relation is  defined  from A  to B

b) R from B  into A :- r) R = {(x,d) ,  (x,a) , (y,c)}

Reason: Domain of  this  relation is  {x,} which is  subset  of  B and Co-domain of  ralation is  {a,b,c} which is  the subset  A. Hence, This  relation is  defined  from B  to A

c) R from A  into A :- q) R = {(a,a) ,  (b,b) , (c,c)}

Reason: Domain of  this  relation is  {a,b,c} which is  subset  of  A and Co-domain of  ralation is  {a,b,c} which is also the subset  A. Hence, This  relation is  defined  from A  to A

d) R from B  into B :- p) R = {(x,y) ,  (y,z) , (z,x)}

Reason: Domain of  this  relation is  {x,y,z} which is   the set  B and Co-domain of  ralation is  {x,y,z} which is also the set  B. Hence, This  relation is  defined  from B  to B