1. Students often have trouble with proofs by contradiction. They don’t understand why when you negate an “if–then” statement, you assume the “if” part and negate the “then” part. Show, using logic tables, that the negation of (p → q) is equivalent to (p∧ ∼ q). Then explain how this equivalence is used as the basis for a proof by contradiction.
2. Give a proof by contradiction that, if 3n + 5 is even, then n must be odd.
This material may consist of step-by-step explanations on how to solve a problem or examples of proper writing, including the use of citations, references, bibliographies, and formatting. This material is made available for the sole purpose of studying and learning - misuse is strictly forbidden.
This is only a preview of the solution. Please use the purchase button to see the entire solution