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Q: The converse and inverse of a conditional statement are logically equivalent?

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An obverse statement is logically equivalent.

This would be logically equivalent to the conditional you started with.

Switching the hypothesis and conclusion of a conditional statement.

true

none

Related questions

The converse of an inverse is the contrapositive, which is logically equivalent to the original conditional.

An obverse statement is logically equivalent.

This would be logically equivalent to the conditional you started with.

A biconditional is the conjunction of a conditional statement and its converse.

A biconditional is the conjunction of a conditional statement and its converse.

It is the biconditional.

Converse

Switching the hypothesis and conclusion of a conditional statement.

true

always true

always true

A simple example of a conditional statement is: If a function is differentiable, then it is continuous. An example of a converse is: Original Statement: If a number is even, then it is divisible by 2. Converse Statement: If a number is divisible by 2, then it is even. Keep in mind though, that the converse of a statement is not always true! For example: Original Statement: A triangle is a polygon. Converse Statement: A polygon is a triangle. (Clearly this last statement is not true, for example a square is a polygon, but it is certainly not a triangle!)

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