Answer :
The statement can be proved by the law of syllogism.
A formal logical framework used to infer a conclusion from a series of premises is referred to as a syllogism, also known as a rule of inference.
The law of syllogism in conditional statement is given as:
if p then r and if r then q , then we can state that if p then q , where p , q, and r are statements.
Now in the given conditional statements we can write it as:
let p = You go camping
r = you will need a flashlight
q = you will need extra batteries.
Now it is given the if p then r and again if r then q , so by using the law of syllogism we can state that if p then q , that is
If you camping you will need extra batteries.
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The conclusion follows from the law of syllogism .
Law of Syllogism : The Law of Syllogism allows to squeeze together the conditional statements and draw a conclusion .
In general ,
If
p → q
q → r
Then , p → r .
In the given case ,
p = if you go camping
q = then you will need a flashlight
r = then you will need extra batteries
Hence , since p → r
if you go camping → then you will need extra batteries .
Therefore , the conclusion follows from the law of syllogism .
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