Two sets a and b are nonempty disjoint subsets of a set s. if x ∈ s, then which of the following are true?
(a) it’s possible that x ∈ a∩b.
(b) if x is an element of a, then x can’t be an element of b.
(c) if x is not an element of a,then x must be an element of b.
(d) it’s possible that x ∈/ a and x ∈/ b.
(e) for each non empty set c,either x ∈ a∩c or x∈b∩c.
(f) for some non empty set c,both x ∈ a∪c and x ∈ b∪c.