Let x be { } (empty set) and P(x) be a predicate function , then which of the following is TRUE ?
A) "for all x,P(x)" is TRUE and "there exists atleast one x ,P(x)" is TRUE
B) "for all x,P(x)" is TRUE and "there exists atleast one x ,P(x)" is FALSE
C) "for all x,P(x)" is FALSE and "there exists atleast one x ,P(x)" is TRUE
D) "for all x,P(x)" is FALSE and "there exists atleast one x ,P(x)" is FALSE