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Mademuasel [1]
2 years ago
12

Select the correct answer from each drop-down menu.

Mathematics
1 answer:
RSB [31]2 years ago
5 0

Evidence are simply facts to support a claim, while counterexamples are instances to show the contradictions in a claim

<em>The question is incomplete, as the required drop-down menus are missing. So, I will give a general explanation</em>

<em />

To show that a statement is true, you need evidence.

Take for instance:

\mathbf{if\ a^2 = 4,\ then\ a = 2}

The evidence that the above proof is true is by taking the <em>squares of both sides of </em>\mathbf{a = 2}

\mathbf{a^2 = 2^2}

\mathbf{a^2 = 4}

However, a counterexample does not need a proof per se.

What a counterexample needs is just an instance or example, to show that:

\mathbf{if\ a^2 = 4,\ then\ a \ne 2}

An instance to prove that: \mathbf{if\ a^2 = 4,\ then\ a = 2} is false is:

\mathbf{a = -2}

Hence, the complete statement could be:

<em>In a direct proof, evidence is used to support a proof . On the other hand, a counterexample is a single example that shows that a proof is false.</em>

<em />

Read more about evidence and counterexample at:

brainly.com/question/88496

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sertanlavr [38]

Answer:

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Step-by-step explanation:

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