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ADDITION

EXAMPLES

PRACTICE

1. If A implies B and B implies C, what can we conclude about A and C?
2. If P implies Q and Q implies R, which of the following is true?
3. If X is true, what can we conclude if X implies Y and Y implies Z?
4. If A implies B, and B is false, what can we say about A?
5. If all birds can fly and a penguin is a bird, can a penguin fly?
6. If A implies B and C, and A is true, what can we conclude?
7. If A is false, does A imply B?
8. If two statements contradict each other, can both be true?
9. If a statement is true, can its negation also be true?
10. If A implies B and A is true, what can we conclude about B?

Answers:

  1. A implies C.
  2. P implies R.
  3. Z is true.
  4. Not enough information about A.
  5. A penguin cannot fly.
  6. Both B and C are true.
  7. Yes, A implies B is true if A is false.
  8. No, both cannot be true.
  9. No, the negation cannot be true.
  10. B is true.