Conditional Statements

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What is a conditional statement?

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A conditional statement is a logical statement that has two parts: a hypothesis and a conclusion, typically expressed in the form 'If P, then Q'.

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What is the hypothesis in a conditional statement?

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The hypothesis is the part of the conditional statement that follows 'if'. It represents the condition that must be met.

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What is the conclusion in a conditional statement?

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

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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'.

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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'.

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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'.

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How do you identify the inverse of a statement?

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To identify the inverse, negate both the hypothesis and the conclusion of the original conditional statement.

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How do you identify the converse of a statement?

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To identify the converse, switch the hypothesis and conclusion of the original conditional statement.

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What is an example of a conditional statement?

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An example of a conditional statement is: 'If it rains, then the ground will be wet.'

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What is an example of an inverse statement?

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An example of an inverse statement is: 'If it does not rain, then the ground will not be wet.'