Question

Which term best describes the statement given below?

If a b and b c, then a c.

A. Contrapositive statement
B. A syllogism
C. Inverse statement
D. Converse statement

Answer 1

(a implies b) and (b implies c) we conclude (a implies c). This is called the law of syllogism. 
option b is right
hope this helps

Answer 2

Answer: B. A syllogism.

Step-by-step explanation: Given that

If a implies b, b implies c then a implies c. This is the transitive property, which is also well-known as syllogism law.

Also, if the statement is - If a, then b, then

Inverse statement is - If not a, then not b.

Converse statement - If b, then a.

Contrapositive statement - If not b, then not a.

Thus, options A, C and D are not correct.

The correct option is B. A syllogism.