Question

Given the argument below, create the compound statement that you would need in order to test...

Given the argument below, create the compound statement that you would need in order to test its validity in a truth table. You do not need to create the truth table. Jan goes to work or plays the piano. If Jan plays the piano, then she does not eat tomatoes. Jan eats tomatoes. Therefore, Jan does not go to work.

Math   Statistics-And-Probability   
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Answer #1

In the given scenario we observe as follows.

  • Jan either goes to work or plays the piano.
  • If Jan plays the piano, she does not eat tomatoes.
  • If Jan does not play the piano, there is no exact conclusion about her consumption of tomatoes. That means she may eat tomatoes or not.

Hence, the compound statements for the given description is as follows.

  • Jan goes to work and does not play the piano.
  • Jan does not go to work, plays the piano and does not eat tomatoes.
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