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Advanced MathQ&A Library1. 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?Start your trial now! First week only $4.99!*arrow_forward*

Question

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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