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Question

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


  1. True

  2. False


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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