Converse, Inverse, Contrapositive

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What is the definition of a conditional statement?

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

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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 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 is formed by switching the hypothesis and conclusion. For example, the converse of 'If A, then B' is 'If B, then A'.

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What is the inverse of a conditional statement?

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The inverse of a conditional statement is formed by negating both the hypothesis and conclusion. For example, the inverse of 'If A, then B' is 'If not A, then not B'.

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What is the contrapositive of a conditional statement?

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The contrapositive of a conditional statement is formed by switching and negating both the hypothesis and conclusion. For example, the contrapositive of 'If A, then B' is 'If not B, then not A'.

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How do you form the inverse of 'If it rains, then the ground is wet'?

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The inverse is 'If it does not rain, then the ground is not wet'.

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How do you form the contrapositive of 'If it is sunny, then I will go outside'?

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The contrapositive is 'If I do not go outside, then it is not sunny'.

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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 is a dog, then it is an animal'.

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What is an example of a converse statement?

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The converse of 'If it is a dog, then it is an animal' is 'If it is an animal, then it is a dog'.