Question: 1. Consider the following definition: An integer x is sixod if 6|x or x is odd. (a) Give an example of a number that is

1. Consider the following definition: An integer x is sixod if 6|x or x is odd. (a) Give an example of a number that is sixod: (b) What are the cases you would need to prove the statement: If a is sixod then a 2 + 5a + 4 is even. DO NOT PROVE! Just list Case 1 - whatever it is..., Case 2, etc. 2. Let x Z. Prove the following statement: If 5 does not divide 7x 2 then 5 does not divide x

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