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write the negatation of the hypothesis and the negatation of the conclusion of the conditional if a polygon is a heptagon, then the polygon has exactly 14 diagonals.    what is the negatation of the hypothsis?

write the negatation of the hypothesis and the negatation of the conclusion of the conditional if a polygon is a heptagon, then the polygon has exactly 14 diagonals.    what is the negatation of the hypothsis?

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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write the negatation of the hypothesis and the negatation of the conclusion of the conditional

if a polygon is a heptagon, then the polygon has exactly 14 diagonals. 

 

what is the negatation of the hypothsis?

 

Expert Solution
Step 1

If we have given two statements P &Q 

And joint as if "P" then "Q" 

Then negation of this statement is given as 

P and not Q 

In given hypothesis 

P = a polygon is a heptagon 

Q = polygon has exactly 14 diagonals 

 

So the negation of the given hypothesis becomes 

 

 

 

 

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