Discrete Math Define the sets X=\{1,2,3\} and Y=\{4,5,6\}. Now, define the

glasskerfu 2021-08-14 Answered
Discrete Math
Define the sets X={1,2,3} and Y={4,5,6}. Now, define the relation R from X to Y by {x}Ry if and only if xy is even. Find all of the elements in R.
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casincal
Answered 2021-08-15 Author has 82 answers
Step 1
Let x={1,2,3}
and 4={4,5,6}
and RX×Y
Such that xRy if f xy is even.
Step 2
X×Y={(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)}
R={(x,y)X×YXYis even}
={(1,5),(2,4),(2,6),(3,5)}
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