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The statement formed by negating both the hypothesis and conclusion of a conditional statement?

Inverse


What statement is formed by both exchanging and negating the hypothesis and conclusion?

Biconditional statement


The statement formed when you negate the hypothesis and conclusion of a conditional statement?

Contrapositive


The statement formed by exchanging the hypothesis and conclusion of a conditional statement?

Converse


Determine the inverse of the conditional statement If my mom has to work then I babysit my little sister.?

The inverse of the conditional statement "If my mom has to work, then I babysit my little sister" is formed by negating both the hypothesis and the conclusion. Thus, the inverse is: "If my mom does not have to work, then I do not babysit my little sister."


Is formed when you exchange the hypothesis and conclusion of a conditional statement?

The statement formed by exchanging the hypothesis and conclusion of a conditional statement is called the "converse." For example, if the original conditional statement is "If P, then Q," its converse would be "If Q, then P." The truth of the converse is not guaranteed by the truth of the original statement.


What are inverse statement?

An inverse statement is formed by negating both the hypothesis and the conclusion of a conditional statement. For example, if the original conditional statement is "If P, then Q," the inverse is "If not P, then not Q." Inverse statements can help analyze the truth values of the original statement and its contrapositive, but they are not logically equivalent to the original statement.


What is the inverse of a conditional statement?

The statement formed when you negate the hypothesis and conclusion of a conditional statement. For Example: If you had enough sleep, then you did well on the test. The inverse will be: If you didn't have enough sleep, then you didn't do well on the test.


What is the equivalent of an inverse statement?

The equivalent of an inverse statement is formed by negating both the hypothesis and the conclusion of a conditional statement. For example, if the original statement is "If P, then Q" (P → Q), the inverse would be "If not P, then not Q" (¬P → ¬Q). While the inverse is related to the original statement, it is not necessarily logically equivalent.


What is a statement formed by switching the hypothesis and the conclusion of a conditional statement called?

this statement is called the converse.. ex: if the sky is blue, then the sun is out. converse: if the sun is out, then the sky is blue.


If a number ends with 0 then it is divisible by 10 What is the contrapositive of this statement?

The contrapositive of the statement "If a number ends with 0, then it is divisible by 10" is "If a number is not divisible by 10, then it does not end with 0." In logic, the contrapositive is formed by negating both the hypothesis and the conclusion, and it is logically equivalent to the original statement.


What the definition of contrapositive?

A proposition or theorem formed by contradicting both the subject and predicate or both the hypothesis and conclusion of a given proposition or theorem and interchanging them.