Let $A = {1, 2, 3, 4}$ , $B = {2, 4, 6, 8}$ and $C = {3, 4, 5, 6}$ . Then find value of $A - (B \cap C)$ .

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Solution

Given, $A = {1, 2, 3, 4}$ , $B = {2, 4, 6, 8}$ and $C = {3, 4, 5, 7}$ .
Now, $B \cap C = {4}$ .
The $A - (B \cap C) = {1, 2, 3}$ .

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Similar questions

Let U = {1,2,3,4,5,6,7,8,9}, A = {1,2,3,4}, B = {2,4,6,8} and C = {3,4,5,6}. Find :

(i) $A^{'}$ (ii) $B^{'}$ (iii) $(A \cap C)^{'}$

(iv) $(A \cup B)^{'}$ (v) ${(A^{'})}^{'}$ (vi) $(B - C)^{'}$

A'

B'

(A \cap C)'

(A \cup B)'

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A = {1, 2, 3, 4, 5}, B = {2, 4, 6, 8}

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A - (B \cap C) - (A - B) \cup (A - C) .

A = {1, 2, 3, 4}, B = {3, 4, 5, 6}

C = {1, 2, 4, 6, 7}

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