Question

if A= {3 6 9 12 15 18 21} and B{4 8 12 16 20} and C={2 4 6 8 10 12 14 } Find (A-B )U (C-A)​

Answer 1

Answer:

(A-B)={3,6,9,15,18,21}

 (C-A)={2,4,8,10,12,14}

(A-B)∪(C-A)={2,3,4,6,8,9,10,12,14,15,18,21}

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Answer 2

Given :-

• A= {3 6 9 12 15 18 21} and B{4 8 12 16 20} and C={2 4 6 8 10 12 14 }

To find :-

• (A-B) U (C-A)

Solution :-

• Difference of sets

→ The difference of A and B, written as A - B, is the set of all those elements of A which do not belong to B.

Now, it is given that

• A = {3, 6, 9, 12, 15, 18, 21}

• B = {4, 8, 12, 16, 20}

• C = {2, 4, 6, 8, 10, 12, 14}

Firstly, we have to find

→ A - B = {3, 6, 9, 15, 18, 21}

→ C - A = {2, 4, 8, 10, 14}

• Union of sets

→ The union of A and B is the set of all those elements which belong either to A or to B or to both A and B.

→ It is denoted by A U B (read as A union B)

(A - B) U (C - A) = {2, 3, 4, 6, 8, 9, 10, 14, 15, 18, 21}

Hence,

• Value of (A - B) U (C - A) = {2, 3, 4, 6, 8, 9, 10, 14, 15, 18, 21}