6. For each of the following statements, write the first sentences of a proof by contradiction. (Do not complete the proofs.) Use the phrase "for the sake of contradiction." a. If the sum of two primes is prime, then one of the primes must be 2. b. Distinct circles intersect in at most two points.

Algebra and Trigonometry (6th Edition)
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ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
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Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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6. For each of the following statements, write the first sentences of a proof by contradiction.
(Do not complete the proofs.) Use the phrase "for the sake of contradiction."
a. If the sum of two primes is prime, then one of the primes must be 2.
b. Distinct circles intersect in at most two points.
Transcribed Image Text:6. For each of the following statements, write the first sentences of a proof by contradiction. (Do not complete the proofs.) Use the phrase "for the sake of contradiction." a. If the sum of two primes is prime, then one of the primes must be 2. b. Distinct circles intersect in at most two points.
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