#1 Conditional, Converse, Inverse, Contrapositive Biconditional

Front

What is a Conditional Statement?

Back

A conditional statement is a logical statement that has two parts: a hypothesis (if) and a conclusion (then). For example, "If it rains, then the ground will be wet."

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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 reversing the hypothesis and conclusion. For example, the converse of "If it rains, then the ground will be wet" is "If the ground is wet, then it rains."

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

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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 reversing and negating both the hypothesis and conclusion. For example, the contrapositive of "If it rains, then the ground will be wet" is "If the ground is not wet, then it does not rain."

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What is a Biconditional Statement?

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A biconditional statement is a statement that combines a conditional statement and its converse, typically expressed as "p if and only if q". It is true when both parts are either true or false.

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If RT=36, find the value of x if x = RT/9.

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x = 4.

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Draw a conclusion from the statement: If you go fishing, then you will need to bring your fishing rod. You go fishing.

Back

You will need to bring your fishing rod.

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Given the conditional statement: "If Max gets good grades, then he won't be grounded." What is the contrapositive?

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If Max gets grounded then he doesn't get good grades.

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What does 'Conditional' mean in logic?

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A conditional statement is a statement that can be written in the form 'If p, then q'.

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What does 'Converse' mean in logic?

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The converse of a statement is formed by switching the hypothesis and conclusion.