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Is the converse of a true if-then statement always true?

Updated: 4/28/2022
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Weirdheyya777

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13y ago

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No.

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Q: Is the converse of a true if-then statement always true?
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Related questions

What is a true statement that combines a true conditional statement and its true converse?

always true


What is a true statement that combines a true conditional statement and is its true converse?

always true


Is the converse of a biconditional statement always true?

Yes


Is the converse of a true conditional statement always false?

No. Consider the statement "If I'm alive, then I'm not dead." That statement is true. The converse is "If I'm not dead, then I'm alive.", which is also true.


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

This is not always true.


If a statement is true is it converse also true?

Not necessarily. If the statement is "All rectangles are polygons", the converse is "All polygons are rectangles." This converse is not true.


If the statement If I am hungry then I am not happy is assumed to be true is its converse If I am not happy then I must be hungry also always true?

The Answer: NO


If the statement If it is cold then you wear a jacket is assumed to be true is its converse If you wear a jacket then it must be cold also always true?

No, it must not be true.


What is converse statement?

Statement: All birds lay eggs. Converse: All animals that lay eggs are birds. Statement is true but the converse statement is not true. Statement: If line A is perpendicular to line B and also to line C, then line B is parallel to line C. Converse: If line A is perpendicular to line B and line B is parallel to line C, then line A is also perpendicular to line C. Statement is true and also converse of statement is true. Statement: If a solid bar A attracts a non-magnet B, then A must be a magnet. Converse: If a magnet A attracts a solid bar B, then B must be non-magnet. Statement is true but converse is not true (oppposite poles of magnets attract).


Is this statement true or falseThe conditional is the negation of the converse.?

true


What are some examples of a conditional statement?

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!)


Is the converse of a true if-then statement never true?

Converses of a true if-then statement can be true sometimes. For example, you might have "If today is Friday, then tomorrow is Saturday," and "If tomorrow is Saturday, then today is Friday." Both the above conditional statement and its converse are true. However, sometimes a converse can be false, such as: "If an animal is a fish, then it can swim." and "If an animal can swim, it is a fish." The converse is not true, as some animals that can swim (such as otters) are not fish.