Directions for the following four questions: Answer the questions based on the following information.

A and B are two sets (e.g. A = Mothers, B = Women).

The elements that could belong to both the sets (e.g. women who are mothers) is given by the set $$C = A \cap B$$.

The elements which could belong to either A or B, or both, is indicated by the set $$D = A \cup B$$ .

A set that does not contain any elements is known as a null set represented by $$\phi$$(e.g. if none of the women in the set B is a mother, then $$C = A \cap B$$ is a null set, or C = $$\phi$$).

Let ‘V’ signify the set of all vertebrates, ‘M’ the set of all mammals, ‘D’ dogs, ‘F’ fish, ‘A’ alsatian and ‘P’, a dog named Pluto.

Question 99

If $$Z = (P \cap D) \cup M$$, then


From $$P \cap D$$ is a set containing just pluto ,as pluto is subset of dog D, hence $$P \cap D$$ = P . Also $$P \cup M$$ would be set of pluto and all mammals together. 

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