Question

Read the following two statements. Then use the Law of Syllogism to draw a conclusion.

If a number is a multiple of 64, then it is a multiple of 8.
If a number is a multiple of 8, then it is a multiple of 2.

Answer 1

64 is a multiple of 2

Answer 2

The conclusion drawn is : If a number is a multiple of 64, then it is a multiple of 2.

Explanation:

The law of syllogism states that:

If p, then q.

If q, then r.

And we can put them together to conclude:

If p, then r.

Given statements are:

If a number is a multiple of 64, then it is a multiple of 8.

If a number is a multiple of 8, then it is a multiple of 2.

We can say that :

p is "a number is a multiple of 64"

q is "a number is a multiple of 8"

r is "a number is a multiple of 2"

Then we can conclude, If a number is a multiple of 64, then it is a multiple of 2.