Read the following two statements. Then use the Law of Syllogism to draw a conclusion. If the sun is shining, then it is a beautiful day. If it is a beautiful day, then we will have a picnic.

If we have a picnic, then it is a beautiful day.


If it is a beautiful day, then the sun is shining.


If the sun is shining, then we will have a picnic.


If we have a picnic, then the sun is shining.

Respuesta :

IF THE SUN IS SHINING, THEN WE WILL HAVE A PICNIC.
so choice C.

Answer: If the sun is shining, then we will have a picnic.

Step-by-step explanation:

  • The Law of Syllogism is also known as reasoning by transitivity, is said to be a valid argument way of a deductive reasoning that follows a sequence.

It is exactly similar to the transitive property of equality, which stats that if p=q and q=r then p=r

From the given statement , let p →" the sun is shining"

q→ " it is a beautiful day"

r→"we will have a picnic"

Since p→q and q→r

Therefore by law of syllogism, p→r

Hence, the statement represents the conclusion is "If the sun is shining, then we will have a picnic."