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a conditional and its contrapositive

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Annabel Lehner

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3y ago

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A conditional statement is always logically equivalent to its?

Contrapositive


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

This is not always true.


What are the statements that are always logically equivalent.?

Statements that are always logically equivalent are those that yield the same truth value in every possible scenario. Common examples include a statement and its contrapositive (e.g., "If P, then Q" is equivalent to "If not Q, then not P") and a statement and its double negation (e.g., "P" is equivalent to "not not P"). Additionally, the negation of a statement is logically equivalent to the statement's denial (e.g., "not P" is equivalent to "if not P, then false"). These equivalences play a crucial role in logical reasoning and proofs.


Which statement always has the same truth value as the conditional?

The statement "if not p, then not q" always has the same truth value as the conditional "if p, then q." They are logically equivalent.


What can you logically conclude about the relationship between the full moon and lunar eclipse?

You can logically conclude that those two phenomena always coincide precisely.


What statement about subtracting integers is always true?

When subtracting integers, the result is equivalent to adding the opposite of the integer being subtracted. Specifically, for any integers ( a ) and ( b ), the statement ( a - b ) can be rewritten as ( a + (-b) ). This means that subtracting an integer is always the same as adding its negative.


Are the two statements you don't always work on Tuesdays and you never work on Tuesdays logically consistent?

No.


What is a sentences for emotion?

It is always important to think logically and not allow emotion to lead to a poor decision.


Is a decimal and fraction always equivalent?

no they are not always equivalent.


What would Max-Ernest from the book the name of this book is secret be describes as?

a boy who always thinks logically


What statement about Gravity is always true?

Objects will always be pulled to the center of the mass.


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

always true