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Relations

If A=1,2 and ...

Question

If A = {1, 2} and B = {1, 2, 3, 4} , C = {5, 6} and D = {5, 6, 7, 8}, then which of the following is correct? Verify whether A × C is a subset of B × D

(A × C) = (B × D)

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(A × C)

\subset

(B × D)

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(A × C)

\supset

(B × D)

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None of the above.

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Solution

The correct option is B (A × C) $\subset$ (B × D)
A = {1,2), B = (1,2,3,4)
C = {5,6}, D = {5,6,7,8)

(A × C) $\subset$ (B × D)

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Similar questions

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

D = {5, 6, 7, 8} .

(i) A \times (B \cap C) = (A \times B) \cap (A \times C)

(i i) A \times C

B \times D

Let A = {1, 2}, B = {1, 2, 3, 4}, C = {5, 6} and D = {5, 6, 7, 8}. Verify that

(i) A × (B ∩ C) = (A × B) ∩ (A × C)

(ii) A × C is a subset of B × D

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

D = {5, 6, 7, 8}

A \times (B \cap C) = (A \times B) \cap (A \times C)

A \times C

B \times D

A = {1, 2}

B = {1, 2, 3, 4}

C = {5, 6}

D = {5, 6, 7, 8}

A \times (B \cap C) = (A \times B) \cap (A \times C)

Let A = {1, 2}, B = {1, 2, 3, 4}, C = {5, 6} and D = {5, 6, 7, 8}. Verify that :

(i) $A \times C \subset B \times D$

(ii) $A \times (B \cap C) = (A \times B) \cap (A \times C)$

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