We are trying to prove: All odd positive integers between 3 and 11, inclusive, a

ID: 2968987 • Letter: W

Question

We are trying to prove: All odd positive integers between 3 and 11, inclusive, are prime. [Yes, I know this won't work]. Match the proof lines with the proof/disproof method.

Suppose not. Let n be an odd positive integer between 3 and 11 which is composite...

                                                                                                  __Direct Proof

                                                                                                  __Contradiction
                                                                                                  __Disproof by counterexample
                                                                                                  __Exhaustion
                                    __Contraposition


                                                                                         1.
                                                                                                             9 = 3*3                                                                                                                                                           2.                                                                                                                                                               3 is prime, 5 is prime, 7 is prime, 9 is experimental error,...                                                                                                                                                           3.                                                                                                                                                               Suppose n is composite...                                                                                                                                                           4.

Suppose not. Let n be an odd positive integer between 3 and 11 which is composite...

5. Suppose n is an odd positive integer with 3 ? n ? 11

Explanation / Answer

Direct proof: Suppose n is an odd positive integer with 3 ? n ? 11

Contradiction: Suppose not. Let n be an odd positive integer between 3 and 11 which is composite...

Disproof by counterexample: 9 = 3*3

Exhaustion: 3 is prime, 5 is prime, 7 is prime, 9 is experimental error,...

Contraposition: Suppose n is composite

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We are trying to prove: All odd positive integers between 3 and 11, inclusive, a

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