Q1:
Consider the following two statements.
Statement 1: If A is true, then B is true.
Statement 2: A is true.
If both statements are true,
then the law of detachment allows us to conclude that B is true.
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?
Q2:
Consider the following two statements:
Statement 1: If A is true, then B is true.
Statement 2: If B is true, then C is true.
If both statements are true, then the law of syllogism tells us that we can write a third true statement:
Statement 3: If A is true, then C is true.
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?
