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Given\: A\cup B= \left \{ a,b,c,d \right \}\: and\: A\cup C= \left \{ c,d,e,f \right \}. What is the value of A\cup\left ( B\cap C \right )?

  • Option 1)

    {a,b,c,d}

  • Option 2)

    {c,d,e,f}

  • Option 3)

    {a,b,c,d,e,f}

  • Option 4)

    {c,d}

 

Answers (1)

best_answer

As we learnt

 

DISTRIBUTIVE PROPERTY -

 

A (B C) = (A B) (A C)

-

 

 A (B C) = (A B) (A C)

                          ={a,b,c,d}   {c,d,e,f}

                   ={c,d}

 


Option 1)

{a,b,c,d}

Option 2)

{c,d,e,f}

Option 3)

{a,b,c,d,e,f}

Option 4)

{c,d}

Posted by

Himanshu

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