Lesson: Laws of Deductive Reasoning

Statement 1: If and are odd numbers, then is odd.

Statement 2: and are odd numbers.

What can we conclude about ?

Statement 3: If is an odd number, then is prime.

Statement 4: is an odd number.

Can we conclude is prime? Why?

Given statements 3 and 4 below, which of the following statements is also true?

Statement 3: If is odd, then both and are odd.

Statement 4: If both and are odd, then is even.

Statement 5: If a shape is a square, then it has a right angle.

Statement 6: If a shape is a square, then it has a pair of parallel sides.

Shape has a right angle and a pair of parallel sides. What can we conclude about shape from the given statements?

If you wear sunglasses, then it is sunny outside.

You are wearing sunglasses.

Which of the following is true?