The sets A ={4,5,6} and B ={x:x2−5x−6=0} are disjoint sets.
False
(i) A={4,5,6} B={x:x2−5x−6=0}x2−5x−6=0⇒ x2−6x+x−6=0⇒ x(x−6)+1(x−6)=0⇒ (x−6)(x+1)=0∴ Either x−6=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.