Page 10 - E booklet prep 3 bader 2025 b_Neat

Example 3:

If X = { 1 , 2 , 4 , 6 , 10 } , and R is a relation on X where aRb means : " a is a
multiple of b " for each a ? X , b ? X write and represent R in an arrow
diagram
R={{1,1),(2,1),(2,2),(4,1),(4,2),(4,4),(6,1),(6,2),(6
, 6 ) , ( 10 , 1 ) , ( 10 , 2 ) , ( 10 , 10 ) }

Example 4 :

If X = { 1 ,3 , 4 , 5 } , Y = {1 , 2 , 3 , 4 , 5 , 6 } and R is a relation from X to Y
where aRb means : " a + b = 7" for each a ? X , b ? Y write and represent R
in an arrow diagram
R={{1,6),(3,4),(4,3) ,(5,2)}

Example 5 :

If X = { 2 , 3 , 4 } , Y = { 6 , 8 , 10 , 11 , 15 } and R is a relation from X to Y
where aRb means : " a divides b " for each a ? X , b ? Y write and represent
R in an arrow diagram
R = { { 2 , 6 ) , ( 2 , 8 ) , ( 2 , 10 ) , ( 3 , 6 ) , ( 3 , 15 ) , ( 4 , 8 ) }

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