How to solve this?

FINITE MATHEMATICS

Competency 209.1.2: Real Number System – The graduate demonstrates computational proficiency with real numbers and recognizes the properties of the real number system and its subsets.

Task 5: Math Systems

Given:

The following table represents the operation # on the set G = {a, b, c, d}

#

Requirements:

Your submission must be your original work. No more than a combined total of 30% of the submission and no more than a 10% match to any one individual source can be directly quoted or closely paraphrased from sources, even if cited correctly. Use the Turnitin Originality Report available in Taskstream as a guide for this measure of originality.

You must use the rubric to direct the creation of your submission because it provides detailed criteria that will be used to evaluate your work. Each requirement below may be evaluated by more than one rubric aspect. The rubric aspect titles may contain hyperlinks to relevant portions of the course.

A. Explain why the set G is closed under the operation #.

B. Explain why a is the identity element for #.

C. Verify two cases of the commutative property.

D. Acknowledge sources, using APA-formatted in-text citations and references, for content that is quoted, paraphrased, or summarized.