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 (if part) and a conclusion (then part). It is often written 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 true for the conclusion to follow.

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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 that follows if the hypothesis is true.

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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 determine the truth value of a conditional statement?

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A conditional statement is false only when the hypothesis is true and the conclusion is false. In all other cases, it is true.

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What is an example of a conditional statement?

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If it rains, then the ground will be wet.

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What is an example of a converse statement?

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If the ground is wet, then it rained.

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What is an example of an inverse statement?

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If it does not rain, then the ground will not be wet.