A proof wright here you assume the opposite of what you want to prove is generally recognized as a CONTRADICTORY proof. I hope this muzic-ivan.info helps you, and also if it does feel complimentary to give me a rate and also a thanks :)

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Contradictory Statement

Step-by-step explanation:

In contradictory statement , we basically explains a proof by assuming opposite of what we want to prove .

You are watching: Which term best describes a proof in which you assume the opposite of what you want to prove

For example :

Prove that

*
is irrational .

Equipment :

We will prove this by contradiction .

Let if possible

*
is rational .

*
where p and also q are integers and also coprime such that
*

On squaring both sides , we get

*

we get ,

p=2r

On squaring both sides, we get

*

So, 2 divides p and also q which is a contradiction to the fact that p and also are coprime .

Therefore,

*
is irrational .


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