Question

Which is a valid conclusion using the Law of Syllogism? a) If it is raining when we leave, I will open the umbrella. b) If I open the umbrella, you will see pink ducks. Group of answer choices If I open the umbrella, you will see pink ducks. If it is raining, you will see pink ducks. It is raining. You will see pink ducks.

Answer 1

If it is raining when we leave, you will see pink ducks.

Explanation:

The Law of Syllogism is defined by the following rule:

`P\implies Q \,\land\,Q\implies R` (Eq. 1)

`\therefore P\implies R`

Where
`P`,
`Q`,
`R` are propositions.

From statements we know that propositions are:

P = It is raining when we leave.

Q = I open the umbrella.

R = You see pink ducks.

By applying the Law of Syllogism we construct this compound proposition:

If it is raining when we leave, you will see pink ducks.