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Alexxandr [17]
2 years ago
10

Explain how the inverse and the contopositivve of a conditional are alike and how they are different

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

Answer:

See explanation!

Step-by-step explanation:

The contrapositive of a conditional is similar to, yet different from, the inverse of the conditional.

The best way to explain this is to create an example. You should start by creating a conditional; you can then form the conditional's inverse and contrapositive.

<u>Here is an example:</u>

Conditional: If C, then D. (starting statement)

Inverse: If not C, then not D. (opposite of the conditional)

Contrapositive: If not D, then not C. (reversed opposite of the conditional)

<u>Based on the information from the example, you can conclude:</u>

<u>Primary Similarity:</u>

Both the contrapositive and the inverse are opposites of the conditional (both contain not, implying something would not happen under the given circumstances, rather than something would happen under those circumstances).

<u />

<u>Primary Difference:</u>

The contrapositive is a reversed version of the inverse; this causes them to most commonly have different meanings.

I am sure you could find more similarities/differences, but these were the two that stood out to me the most!

I hope this helps! :)

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