Calculate A/B if A ={3,6,9,12,15,18,21},{4,8,12,16,20}
Answers
Answer:
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}
(i) A−B={3,6,9,15,18,21}
(ii) A−C={3,9,15,18,21}
(iii) A−D={3,6,9,12,18,21}
(iv) B−A={4,8,16,20}
(v) C−A={2,4,8,10,14,16}
(vi) D−A={5,10,20}
(vii) B−C={20}
(viii) B−D={4,8,12,16}
(ix) C−B={2,6,10,14}
(x) D−B={5,10,15}
(xi) C−D={2,4,6,8,12,14,16}
(xii) D−C={5,15,20}
Step-by-step explanation:
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Solution :-
given that,
→ A = {3,6,9,12,15,18,21}
→ B = {4,8,12,16,20}
we know that,
- A/B = A - (A∩B) = A - B
so,
→ A - B = The set of elements belongs to A but not belongs to B. { The elements that belong to A only. }
then,
→ A - B = {3, 6, 9, 15, 18, 21} (Ans.)
Learn more :-
If n (AUB)=70,n(A)37,n(B)=52, Find AUB (a)19. (b)20. (c)21. (d)24
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