Determine whether each statement is a proposition or not: 1. The sun rises in the east every night. 2. Go to Cebu via Air Pacific. 3. Five is an even integer. 4. Zero is composite.... Determine whether each statement is a proposition or not: 1. The sun rises in the east every night. 2. Go to Cebu via Air Pacific. 3. Five is an even integer. 4. Zero is composite. 5. 3x - 10 = 0. 6. Are you with us? 7. There exists an x in R such that x^2 + 1 = 0. 8. If the waves are rough then the dogs are barking. 9. I am bored! 10. There is life on planet Mars.

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Understand the Problem

The question is asking to determine whether each of the listed statements is a proposition or not. A proposition is a declarative statement that is either true or false, but not both. The task requires analyzing each statement individually for its truth value or lack thereof.

Answer

Propositions: 3, 4, 5, 7, 8, 10. Not propositions: 1, 2, 6, 9.
  1. Not a proposition
  2. Not a proposition
  3. Proposition
  4. Proposition
  5. Proposition
  6. Not a proposition
  7. Proposition
  8. Proposition
  9. Not a proposition
  10. Proposition
Answer for screen readers
  1. Not a proposition
  2. Not a proposition
  3. Proposition
  4. Proposition
  5. Proposition
  6. Not a proposition
  7. Proposition
  8. Proposition
  9. Not a proposition
  10. Proposition

More Information

A proposition is a declarative sentence that is either true or false, whereas commands, questions, and exclamations do not qualify as propositions.

Tips

A common mistake is considering questions, commands, or expressions of emotion as propositions, which they are not.

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