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# If A={a,b,c,d}, B={1,2,3}, find whether or not the following sets of ordered pairs are relations from A to B or not(a)${R_1}$={(a,1),(a,3)}(b)${R_2}$={(b,1),(c,2),(d,1)}(c)${R_3}$={(a,1),(b,2),(3,c)}

Last updated date: 18th Mar 2023
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${R_1}$={(a,1),(a,3)} , now these ordered pairs in ${R_1}$ are a part of set D which consists of ordered pairs of relations from set A to B. So, ${R_1}$ is a relation from set A to B.
${R_2}$={(b,1),(c,2),(d,1)} ,now these ordered pairs in ${R_2}$are a part of set D which consists of ordered pairs of relations from set A to B. So, ${R_2}$ is a relation from set A to B.
${R_3}$={(a,1),(b,2),(3,c)}, now these ordered pairs in ${R_3}$ are not a part of set D which consists of ordered pairs of relations from set A to B. So, ${R_3}$ is not a relation from set A to B.