Mathematics
Grade9
Easy
Question
p→q
q→r
∴p→r
Which law is modeled?
- Law of Syllogism
- Law of Detachment
- Law of Contrapositive
- Law of Shannon
Hint:
In deductive reasoning we use facts, definitions and postulates to draw a conclusion. There are two laws under deductive reasoning they are Law of Detachment and Law of Syllogism. Here, we have to determine which of these laws in applied here to draw the conclusion.
The correct answer is: Law of Detachment
In the question it is given that,
p→q
q→r
∴p→r
Here, from the above statements we have find which law is applied here.
From the given statement we can say that it obey the Law of Syllogism.
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.
