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Question

The sets A ={4,5,6} and B ={x:x25x6=0} are disjoint sets.


A

True

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B

False

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Solution

The correct option is B

False


(i) A={4,5,6} B={x:x25x6=0}x25x6=0 x26x+x6=0 x(x6)+1(x6)=0 (x6)(x+1)=0 Either x6=0 Or x+1=0 x=6 x=1 B={6,1}Hence set A and set B are not disjoint because these sets have element 6 in common. Ans.


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