b) If 7m is an odd number, then m is an odd number. (Use the îndirect proof approach).

A student claims she can prove that subtraction of integers is commutative. She points out that if a and b are integers, then a - b = a + b. Since addition is commutative, so is subtraction. What is your response? Choose the correct answer below. A. The student is incorrect. Although a - b = a + b, the argument is not complete because a - b = a + b and b-a = b + -a and a+ - b‡b + -a. B. The student is correct. Subtraction is commutative because a-b=a+b and b - a = b + -a and a+b=b+ - a.

All of the employees at the acmesoft company are either programmers or salespeople. The programmers are always tell the truth, the salespeople always lie. Threes Acmesoft employees - A, B, and C-were standing together in the hallway. A visitor passed by and asked A. "Are you a programmer or a salesperson?" A mumbled an answer that the visitor could not hear clearly. The visitor then asked B, "what did A say?" B replied. "A said that he is a salesperson."At this point, the third employee, C, said ,"Don't believe B; he is lying! What are B and C? 1/ B and C are both programmers 2/ B is a programmer and C is a salesperson 3/  B is a salesperson and C is a programmer 4/ B and C are both salesperson

Then after write the converse of the statement

Write the following statement as a mathematical statement. Use variable names to denote arbitrary numbers in the domain. Your statements and should be expressed using algebra. "There is no largest integer."

1. Construct Arguments Jan said that 2 is between 0 and on a number line. Do you agree? Construct an argument to explain.