Mathematics
Grade9
Easy
Question
Use the law of syllogism to draw a conclusion from the two given statements:
Statement 1: If you exercise regularly, then you have a healthy body
Statement 2: If you have a healthy body, then you have more energy
- You have more energy
- If you exercise regularly, then you have more energy
- You have a healthy body
- If you do not have a healthy body, then you do not exercise regularly
Hint:
Reasoning is drawing conclusions using statements and pictures. There are two types of reasonings they are deductive and inductive. In deductive reasoning we use facts or general statements to draw a general conclusion. There are two laws under deductive reasoning they are Law of Detachment and Law of Syllogism. Here, we have to draw a conclusion using the given statements.
The correct answer is: If you exercise regularly, then you have more energy
In the question the given statements are
Statement 1: If you exercise regularly, then you have a healthy body.
Statement 2: If you have a healthy body, then you have more energy.
Here, we have to use law of syllogism to draw a conclusion.
Let statement (1) be p, statement (2) be q and the conclusion be r.
In syllogism if p equals q and q equals r then p equals r.
So, the conclusion will be If you exercise regularly, then you have more energy.
Therefore, the correct option is b, i.e., If you exercise regularly, then you have more energy.
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.
