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For each of the English statements below, do the following: Define propositions as necessary, Write the symbolic notation for the implication, Write the symbolic notation

  1. For each of the English statements below, do the following:

  1. Define propositions as necessary,
  2. Write the symbolic notation for the implication,
  3. Write the symbolic notation for the inverse then write in English,
  4. Write the symbolic notation for the contrapositive then write in English.

Note: The sentences should be written in a form consistent with the original sentence. So for instance if the original sentence begins with It is necessary the other sentences should begin with It is necessary as well. Simplifications should be made if possible.

  1. Being a right triangle is sufficient for having three sides and being a polygon.
  2. It is necessary for a student to complete assignments and attend class to do well in MTH231.
  3. Only if a student attends class will he/she/they do well in MTH231.

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