Let A={1,2,3,4}, B={1,5,9,11,15,16} and f={(1 | vedclass

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Question

$A=\{1,2,3,4\}$ and $B=\{1,5,9,11,15,16\}$

$	herefore A 	imes B=\{(1,1),(1,5),(1,9),(1,11),(1,15),(1,16),(2,1),(2,5),$

$(2,9),(2,11),(2,15),(2

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Vedclass · Answer

$A=\{1,2,3,4\}$ and $B=\{1,5,9,11,15,16\}$

$	herefore A 	imes 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 $A 	imes B$

Thus, $f$ is a relation from $A$ to $B$.

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.

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