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 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 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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How do you identify 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 that follows from the hypothesis.

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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 the relationship between a conditional statement and its contrapositive?

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A conditional statement and its contrapositive are logically equivalent, meaning they have the same truth value.

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What is the relationship between a conditional statement and its converse?

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A conditional statement and its converse are not necessarily logically equivalent; they can have different truth values.

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What is the relationship between a conditional statement and its inverse?

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A conditional statement and its inverse are not necessarily logically equivalent; they can have different truth values.