Match the possible opening lines for a proof that vne Z, [(n mod 26) = 13] → [n is odd] with the methods of proof listed below. a) Proof by Contradiction Opening Line?((i), (ii), (iii), or (iv)) b) Direct Proof Opening Line? ((i), (ii), (iii), or (iv)) c) Proof by Contraposition Opening Line? ((i), (ii), (iii), or (iv)) Possible Opening Lines for the Proof: (i) Suppose that n is an integer with the additional property that (n mod 26) = 13. (ii) Suppose that n is an integer with the additional property that n is not odd. (iii) Suppose there is some integer n satisfying (n mod 26) = 13, but n is even. (iv) Suppose that (n mod 26) is not thirteen. Question Quest Share Que

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Do not
Match the possible opening lines for a proof that vne Z, [(n mod 26) = 13] → [n is odd]
with the methods of proof listed below.
a) Proof by Contradiction
Opening Line? ((i), (ii), (iii), or (iv))
b) Direct Proof
Opening Line? ((i), (ii), (iii), or (iv))
c) Proof by Contraposition Opening Line? ((i), (ii), (iii), or (iv))
Possible Opening Lines for the Proof:
(1) Suppose that n is an integer with the additional property that (n mod 26) = 13.
(ii) Suppose that n is an integer with the additional property that n is not odd.
(iii) Suppose there is some integer n satisfying (n mod 26) = 13, but n is even.
(iv) Suppose that (n mod 26) is not thirteen.
Question
Exant Questi
am Qu
Transcribed Image Text:Do not Match the possible opening lines for a proof that vne Z, [(n mod 26) = 13] → [n is odd] with the methods of proof listed below. a) Proof by Contradiction Opening Line? ((i), (ii), (iii), or (iv)) b) Direct Proof Opening Line? ((i), (ii), (iii), or (iv)) c) Proof by Contraposition Opening Line? ((i), (ii), (iii), or (iv)) Possible Opening Lines for the Proof: (1) Suppose that n is an integer with the additional property that (n mod 26) = 13. (ii) Suppose that n is an integer with the additional property that n is not odd. (iii) Suppose there is some integer n satisfying (n mod 26) = 13, but n is even. (iv) Suppose that (n mod 26) is not thirteen. Question Exant Questi am Qu
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