Question

lf A= {3, 6, 9, 12, 15, 18, 21} , B={4, 8, 12, 16, 20 }, C={2, 4, 6, 8, 10, 12, 14, 16} D={5, 10, 15, 20}; Find C - D

Answer 1

concept :- A - B shows the relative complement of the set, which represents members of set A which are not part of set B. see figure , here shaded region is shown, this shaded region indicates A - B.

here, A= {3, 6, 9, 12, 15, 18, 21},
B={4, 8, 12, 16, 20 },
C={2, 4, 6, 8, 10, 12, 14, 16},
D={5, 10, 15, 20}.

so, C - D = {2, 4, 6, 8, 10, 12, 14, 16} - {5, 10, 15, 20}
here you can see that 10 is present in both sets so, C - D won't contain 20 and will contain rest elements of C.

hence, C - D = {2, 4, 6, 8, 12, 14, 16}

Answer 2

Solution :

Given C = { 2,4,6,8,10,12,14,16 }

D = { 5,10,15,20 }

C-D = {x:x€C and x doesn't belongs to D}

= { 2,4,6,8,10,12,14,16 } - { 5,10,15,20 }

= { 2,4,6,8,12,14,16 }

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