Mathematics
Easy

Question

Determine if statement (3) follows from statements (1) and (2) by what law.1) If you wear the school colors, then you have school spirit.2) If you have school spirit, then the team feels great.3) If you wear the school colors, then the team will feel great.

Hint:

The correct answer is: Law of Syllogism

In the question it is given that,1) If you wear the school colors, then you have school spirit.2) If you have school spirit, then the team feels great.3) If you wear the school colors, then the team will feel great.Here, we have to determine the law which the above statements obey.Let statement (1) be p, statement (2) be q and statement (3) be r.From the given statement we can say that p equals to q and q equals r.So, p equals r.Thus, the above statements obey the Law of Syllogism.Therefore, the correct option is Law of Syllogism.

In Law of Syllogism if a statement p equals q and if q equals r, then p equals r whereas in Law of Detachment if a statement p equals q where p is true then q is also true.