Week 6 Finite Math Assignment

True or false. A set is any collection of objects.Actual definition is that a Set is a collection of distinct objects. From that perspective, this is false, as the word distinct is missing. But the general definition is that A set is any collection of objects – so true. The question is vague – I would go with true.TrueTrue or false. A proper subset of a set is itself a subset of the set, but not vice versa.True. True or false. The empty set is a subset of every set.True.True or false. If A ∪ B = ∅ , then A = ∅ and B = ∅ .True. Only way a union of two sets is empty when each one is empty as union of two sets is combination of distinct elements of each set.True or false. If A ∩ B = ∅ , then A = ∅ or B = ∅ or both A and B are empty sets.False. The intersection of two elements having no elements in common can be emptyTrue or false. (A ∪ Ac)c = ∅ .True. Union of A and its compliment is Universe and compliment of Universe is empty.True or false. [A ∩ (B