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\( \Large A- \left(B \cap C\right) \) is equal to

A) \( \Large \left(A-B\right)\cap \left(A-C\right) \)
B) \( \Large \left(A-B\right)\cup \left(A-C\right) \)
C) \( \Large \left(A\cap B\right)-C \)
D) None of these

Correct Answer:




D) None of these

Description for Correct answer:
From Venn diagram

\( \Large \left(A \cap B\right)^{c} \) = Portion exterior to

\( \Large \left(A \cap B\right)^{c} \cap A \) = Portion showing both shadings = A-B

Part of solved Set theory questions and answers : >> Elementary Mathematics >> Set theory

Comments

Similar Questions

1). If A = \( \Large \{ x : x^{2} = 1 \} \) and B \( \Large \{ x : x^{4} = 1 \} \), then \( \Large A \cup B \) is equal to:

A). {i, -i}

B). {-1, 1}

C). {-1, 1, i. -i}

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2). If A = \( \Large \{ x : x = 4n+1, 2 \le n \le 5 \} \) then number of subsets of A is:

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A). R and S are transitive, then R u S is also transitive.

B). R and S are transitive, then R n S is also transitive.

C). R and S are reflexive, then R n S is also reflexive.

D). R and S are symmetric, then R U S is also symmetric

4). The group of beautiful girls is:

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B). a finite set

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10). Which of the four statements given below is different from the other?

A). \( \Large f:A \rightarrow B \)

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D). f is a function from A to B