1. Let a and b be real numbers. Define an operation * by a*b=a. a. Is the set of real numbers closed under the operation *? Why or why not? b. Is the operation * commutative on the set of real numbers? Why or why not? c.  Is the operation * associative on the set of real numbers? Why or why not?

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Set Theory

Every field in the present world involves a set. The theory of sets was developed by German mathematician Georg Cantor while working on the “problems of trigonometric series”.