Mathematics
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 bodyStatement 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:

## The correct answer is: If you exercise regularly, then you have more energy

### In the question the given statements areStatement 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.

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