# Logic - Logic "If - then" statements Aka "Conditional"...

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Logic “If --- then” statements Aka “Conditional” statements

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Examples of “If --- Then” Statements If Jason oversleeps then he misses the bus. If a triangle is equilateral then it is isosceles. If a polygon has four sides then its angles sum to 360 degrees.
Analyzing the Statement If Jason oversleeps then he misses the bus. If P then Q If a triangle is equilateral then it is isosceles . If P then Q If a polygon has four sides then its angles sum to 360°. If P then Q hypothesis conclusion Note: In a true statement, the hypothesis guarantees the conclusion. If the hypothesis occurs or is true then the conclusion must occur or be true.

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Converses Statement: If Jason oversleeps then he misses the bus. If P then Q Converse: If Jason misses the bus then he overslept. If Q then P Statement: If a triangle is equilateral then it is isosceles . If P then Q Converse: If a triangle is isosceles then it is equilateral. If Q then P
Inverses Statement: If Jason oversleeps then he misses the bus. If P then Q Inverse: If Jason does not oversleep then he does not miss the bus . If not P then not Q Statement: If a triangle is equilateral then it is isosceles . If P then Q Inverse: If a triangle is not equilateral then it is not isosceles. If not P then not Q

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Contrapositives Statement: If Jason oversleeps then he misses the bus. If
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## This note was uploaded on 03/12/2012 for the course MATH 0102 taught by Professor Mclaren during the Spring '12 term at Maryland.

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Logic - Logic "If - then" statements Aka "Conditional"...

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