Let $A=\{1,2,3,4\}, B=\{1,5,9,11,15,16\}$ and $f=\{(1,5),(2,9),(3,1),(4,5),(2,11)\}$
Are the following true?
$f$ is a relation from $A$ to $B$
Justify your answer in each case.
Let $A=\{1,2,3,4\}, B=\{1,5,9,11,15,16\}$ and $f=\{(1,5),(2,9),(3,1),(4,5),(2,11)\}$
Are the following true?
$f$ is a relation from $A$ to $B$
Justify your answer in each case.
$A=\{1,2,3,4\}$ and $B=\{1,5,9,11,15,16\}$
$\therefore A \times B=\{(1,1),(1,5),(1,9),(1,11),(1,15),(1,16),(2,1),(2,5),$
$(2,9),(2,11),(2,15),(216),(3,1),(3,5),(3,9),(3,11),(3,15),$
$(3,16),(4,1),(4,5),(4,9),(4,11),(4,15),(4,16)\}$
It is given that $f=\{(1,5),(2,9),(3,1),(4,5),(2,11)\}$
A relation from a non-empty set $A$ to a non-empty set $B$ is a subset of the Cartesian product $A \times B$
Thus, $f$ is a relation from $A$ to $B$.
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