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  • Give answer! If set A = {1,2} and set B = {1,2,3,4} then set {(1,2);(1,1);(2,2);(2,1)} is NOT a subset of

If set A = {1,2} and set B = {1,2,3,4} then set {(1,2);(1,1);(2,2);(2,1)} is NOT a subset of 

  • Option 1)

    A \times B

  • Option 2)

    (A \times B)\cap(B\times A)

  • Option 3)

    B\times B

  • Option 4)

    All of these.

 

Answers (1)

best_answer

As we have learnt,

 

Theorem of Cartesian Product -

If A\subseteq B, then AXA\subseteq(AXB)\cap(BXA)

-

 

 Set is Axa which is subset of AxB, BxA, A\times B \cap B\times A as it can be seen in the cartesian products.

 


Option 1)

A \times B

Option 2)

(A \times B)\cap(B\times A)

Option 3)

B\times B

Option 4)

All of these.

Posted by

Himanshu

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