Q2. In each of the following, determine whether the statement is true or false. If it is true, prove it. If it is false, give an example.
(i) If x A and A B , then x B
The given statment is false,
example: Let A = { 2,4 }
B = { 1,{2,4},5}
x be 2.
then, 2 { 2,4 } = x A and { 2,4 } { 1,{2,4},5} = A B
But 2 { 1,{2,4},5} i.e. x B