Let R1 be a relation from A={1,3,5,7} to B={2,4,6,8} and R2 be another relation from B to C={1,2,3,4} as defined below:(i) An element x in A is related to an element y in B (under R1) if x+y is divisible by 3.(ii) An element x in B is related to an element y in C (under R2) if x+y is even but not divisible by 3.Which is the composite relation R1R2 fromA to C ?

Let R1 be a relation from A={1,3,5,7} to B={2,4,6,8} and R2 be another

1.	Let R1 be a relation from A={1,3,5,7} to B={2,4,6,8} and R2 be another relation from B to C={1,2,3,4} as defined below:(i) An element x in A is related to an element y in B (under R1) if x+y is divisible by 3.(ii) An element x in B is related to an element y in C (under R2) if x+y is even but not divisible by 3.Which is the composite relation R1R2 fromA to C ?
Answer» Let $R_{1}$ be a relation from $A = {1, 3, 5, 7}$ to $B = {2, 4, 6, 8}$ and $R_{2}$ be another relation from $B$ to $C = {1, 2, 3, 4}$ as defined below: (i) An element $x$ in $A$ is related to an element $y$ in $B$ (under $R_{1}$ ) if $x + y$ is divisible by 3. (ii) An element $x$ in $B$ is related to an element $y$ in $C$ (under $R_{2}$ ) if $x + y$ is even but not divisible by 3. Which is the composite relation $R_{1} R_{2}$ from $A$ to $C$ ?