Question

Let $A=\{a,b,c\}$ and $B=\{1,2\}$. Consider a relation $R$ defined from set $A$ to set $B$. Then $R$ is equal to set

• A. $A$
• B. $B$
• C. $A\times B$
• D. $B\times A$

Answer 1

Answer: (C)

$A\times B$

The relation defined from a set $A$ to set $B$ is defined as a subset of $A\times B$.

$R:A\to B=\left\{\right(x,y)|x\in A,y\in B,(x,y)\in A\times B\}$

Here, $A\times B=\left\{\right(a,1),(a,2),(b,1),(b,2),(c,1),(c,2\left)\right\}$

Relation from A to B will be a subset of this $A\times B$.