Problem on proof techniques


Assignment:

Provide counterexamples to each of the following.

  • Every odd number is prime.
  • Every prime number is odd.
  • For every real number x, we have x2 > 0.
  • For every real number x ≠ 0, we have  1/x  > 0.
  • Every function f :R→R is linear (of the form mx + b).

Provide complete and step by step solution for the question and show calculations and use formulas.

 

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Algebra: Problem on proof techniques
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