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If A=\left \{ 1 \right \};B=\left \{ 1,2 \right \};C=\left \{ 3 \right \};D=\left \{ 3,4 \right \} then AxC is a subset of

  • Option 1)

    A x B

  • Option 2)

    C x D

  • Option 3)

    B x D

  • Option 4)

    A x A

 

Answers (1)

best_answer

As we learned,

 

Theorem of Cartesian Product -

If A\subseteq B, then (AXC)\subseteq(BXC) for\ any\ set\ C.

-

 

 

Since A\subseteq B;C\subseteq D

A\times C\subseteq B\times D


Option 1)

A x B

Option 2)

C x D

Option 3)

B x D

Option 4)

A x A

Posted by

gaurav

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