# Introduction to Proofs

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## Introduction to direct and Indirect proofs

Created Date 04.16.20
Last Updated 04.17.20
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Topics of this game:
• Assume that p is true and show q is also true. Which proof represents this?
• How would you represent odd integer?
• Is √ 2 rational or Irrational?
• Assume ¬q and show ¬p is true also. This is represented by which of the following proofs?
• For direct proof of the theorem “If n is an odd integer, then n^2 is odd.” What should be your assumption?
• To prove that if n is an integer and 3 n + 2 is odd, then n is odd. Which proof would you use to solve this?
• To prove that if n is an integer and 3n + 2 is odd, then n is odd. What should be the assumption?
• Prove that for an integer n,if n^2 is odd, then n is odd. Which proof would you use?
• Prove that for an integer n,if n^2 is odd, then n is odd. What should be the assumption?
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