Conditional Statements

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What is a conditional statement?

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A conditional statement is an if-then statement that expresses a relationship between two propositions, where one proposition (the hypothesis) implies the other (the conclusion).

Tags

CCSS.L.8.1C

CCSS.L.8.3A

CCSS.L.2.1F

Front

What is the hypothesis in a conditional statement?

Back

The hypothesis is the part of a conditional statement that follows 'if'. It represents the condition that must be met for the conclusion to be true.

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What is the conclusion in a conditional statement?

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The conclusion is the part of a conditional statement that follows 'then'. It represents the result or outcome that follows from the hypothesis.

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What is the converse of a conditional statement?

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The converse of a conditional statement 'If P, then Q' is 'If Q, then P'. It switches the hypothesis and conclusion.

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What is the inverse of a conditional statement?

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The inverse of a conditional statement 'If P, then Q' is 'If not P, then not Q'. It negates both the hypothesis and conclusion.

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What is the contrapositive of a conditional statement?

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The contrapositive of a conditional statement 'If P, then Q' is 'If not Q, then not P'. It switches and negates both the hypothesis and conclusion.

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How do you identify the contrapositive of a statement?

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To identify the contrapositive, switch the hypothesis and conclusion and negate both.

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What is the difference between the converse and the inverse?

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The converse switches the hypothesis and conclusion, while the inverse negates both the hypothesis and conclusion.

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If the statement is 'If it rains, then the ground is wet', what is the contrapositive?

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If the ground is not wet, then it did not rain.

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True or False: The contrapositive of a statement is logically equivalent to the original statement.

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True.