2-3 Conditional Statements

2-3 Conditional Statements - Negation An angle is not...

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Conditional Statements Section 2-3
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Conditional Statements If-then statements are called conditional statements. The portion of the sentence following if is called the hypothesis. The part following then is called the conclusion. p q (If p, then q)
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If it is an apple , then it is a fruit . Hypothesis – It is an apple. Conclusion – It is a fruit. p q
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Converse q p The converse statement is formed by switching the hypothesis and conclusion. If it is an apple, then it is a fruit. Converse: If it is a fruit, then it is an apple. The converse may be true or false.
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negation – the denial of a statement Ex. “An angle is obtuse.”
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Unformatted text preview: Negation An angle is not obtuse. Inverse ~p ~q An inverse statement can be formed by negating both the hypothesis and conclusion. If it is an apple, then it is a fruit. Inverse: If it is not an apple, then it is not a fruit. The inverse may be true or false. Contrapositive ~q ~p A contrapositive is formed by negating the hypothesis and conclusion of the converse. If it is an apple, then it is a fruit. Contrapositive: If it is not a fruit, then it is not an apple. The contrapositive of a true conditional is true and of a false conditional is false....
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This note was uploaded on 12/01/2011 for the course MATH 105 taught by Professor Towns during the Fall '10 term at BYU.

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2-3 Conditional Statements - Negation An angle is not...

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