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The statement formed by negating both the hypothesis and conclusion of a conditional statement?
Inverse
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.
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."
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.
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.
The statement formed by exchanging the hypothesis and conclusion of a conditional statement?
Converse
The statement formed by negating both the hypothesis and conclusion of a conditional statement?
Inverse
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 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.
What statement is formed by both exchanging and negating the hypothesis and conclusion?
Biconditional statement
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."
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.
The second statement is the of the first. A. inverse B. contrapositive C. contradiction D. converse?
The correct answer is D. converse. The converse of a conditional statement "If P, then Q" is formed by reversing the hypothesis and conclusion, resulting in "If Q, then P." In this context, the second statement being the converse of the first means it is derived by exchanging the positions of the two parts of the original statement.
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 true biconditional statement that can be formed from the conditional statement If a number is divisible by 2 then it is even and its converse.?
The true biconditional statement that can be formed is: "A number is even if and only if it is divisible by 2." This statement combines both the original conditional ("If a number is divisible by 2, then it is even") and its converse ("If a number is even, then it is divisible by 2"), establishing that the two conditions are equivalent.
What is an example of the law of syllogism?
Syllogism is a form of deductive reasoning in which two accepted facts lead to a conclusion. For example: All humans are mortal,the major premise, I am a human, the minor premise, therefore, I am mortal, the conclusion.
Choose the true biconditional statement that can be formed from the conditional statement If a natural number n is odd then n2 is odd and its converse.?
An integer n is odd if and only if n^2 is odd.
