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Let A={2,3,4,5,6,7,8}A = \{ 2,3,4,5,6,7,8 \} And Define a Relation RR On AA

Question 2

Essay

Let A={2,3,4,5,6,7,8}A = \{ 2,3,4,5,6,7,8 \} and define a relation RR on AA as follows: for all x,yAx , y \in A ,
xRy3(xy).x R y \Leftrightarrow 3 \mid ( x - y ) .
(a) Is 7R27 R 2 ? Is 13R413 R 4 ? Is 2R52 R 5 ? Is 8R88 R 8 ?
(b) Draw the directed graph of RR .

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