Practicing Success
Let X = {1, 2, 3, 4, 5} and Y = {1, 3, 5, 7, 9}. Which of the following is(are) relation from X to y ? |
$R_1=\{(x,y)|y=2+x,x,y∈Y|\}$ $R_2=\{(1,1),(2,1),(3,3),(4,3),(5,5)\}$ $R_3=\{(1,1),(1,3),(3,5),(3,7),(5,7)\}$ $R_4=\{(1,3),(2,5),(2,4),(7,9)\}$ |
$R_2=\{(1,1),(2,1),(3,3),(4,3),(5,5)\}$ |
$R_1$ (Not a relation) from X → Y as $x,y∈y$ and $x∉ X$ $R_3$ (Not a relation) as (1, 1) and (1, 3) $∈R_3$ two image of one preimage not allowed $R_4$ is not a relation from X to Y as $(7, 9)∉ X$ |