Logic and Proofs

“Formal Logic” Please respond to the following:
Question 1) Describe two challenges of using mathematical symbols in order to solve problems using formal logic and determine how you can overcome them
Question 2)When an if / then statement is true, it is NOT necessarily true that the converse is true. Give an example of an if / then statement that is true, but its converse is NOT true. Discuss the reasoning behind your example.

“Logic and Proofs” Please respond to the following:
Question 1)Choose one type of proof in Chapter 1 and describe how it is used to prove a theorem. Provide an example with your response.
Question2)Discuss the two most challenging aspects and the two least challenging aspects in regards to the process of writing and solving proofs. Provide a rationale with your response.

“Set Theory and Graphs” Please respond to the following:
Question 1) Describe a problem involving relationships that you could solve by applying graphs, and then determine the steps for solving this problem.

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