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Chapter 3: Q13. (page 107)

Accept the two statements as given information. State a conclusion based on deductive reasoning. If no conclusion can be reached, write none.

Polygon G has more than 6 sides.

Polygon K has more than 6 sides.

Short Answer

Expert verified

None, since from statements “Polygon G has more than 6 sides” and “Polygon K has more than 6 sides”no conclusion can be drawn.

Step by step solution

01

Step 1. Define deductive reasoning.

Deductive reasoning is conclusions based on accepted statements like a theorem, postulate, facts etc.

02

Step 2. State the reasoning.

Letndenotes the number of sides of polygon G and m denote the number of sides of polygon K.

As polygon G has more than 6 sides,

n>6 …(i)

As polygon K has more than 6 sides,

m>6 …(ii)

03

Step 3. State the conclusion.

From (i) and (ii), no relationship between m andncan be observed.

So, no conclusion can be drawn based on the given two statements.

Therefore, from the statements “Polygon G has more than 6 sides” and “Polygon K has more than 6 sides” no conclusion can be drawn.

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