Front

What is inductive reasoning?

Back

Inductive reasoning is a method of reasoning in which a general conclusion is drawn from specific examples or patterns.

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What is a conditional statement?

Back

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

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What is a counterexample?

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A counterexample is an example that disproves a statement or proposition.

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What is the converse of a conditional statement?

Back

The converse of a conditional statement 'If P, then Q' is 'If Q, then P'.

Front

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'.

Front

How do you identify a pattern in a sequence?

Back

To identify a pattern, look for a consistent rule or relationship between the numbers in the sequence.

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What is the difference between a statement and its converse?

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A statement asserts a condition, while its converse reverses the condition and conclusion.

Front

Provide an example of inductive reasoning.

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If the sun has risen in the east every day of your life, you might conclude that the sun always rises in the east.

Front

What does it mean for a statement to be true?

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A statement is true if it accurately reflects reality or a fact.

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What does it mean for a statement to be false?

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A statement is false if it does not accurately reflect reality or a fact.