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  • Solve! If A = {1}; B = {1,2}; C = {3}; D = {1,3} then AxC is a subset of

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

  • Option 1)

    {(1,1);(1,2)}

  • Option 2)

    {(1,3);(2,3)}

  • Option 3)

    {(1,1);(1,3);(2,1);(2,3)}

  • Option 4)

    {(1,1);(1,2);(3,1);(3,2)}

 

Answers (1)

best_answer

As we have learnt,

 

Theorem of Cartesian Product -

If A\subseteq B\ and\ C\subseteq D, then (AXC)\subseteq(BXD).

-

 

 A\times C \subseteq B\times D

i.e A\times C \subseteq {(1,1);(1,3);(2,1);(2,3)}

 


Option 1)

{(1,1);(1,2)}

Option 2)

{(1,3);(2,3)}

Option 3)

{(1,1);(1,3);(2,1);(2,3)}

Option 4)

{(1,1);(1,2);(3,1);(3,2)}

Posted by

Himanshu

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