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What is the verbal expression of the following statement?

Statement: -paq

A) A polygon has three sides.
B) A polygon is not a triangle.
C) A polygon has more than three sides.
D) A polygon has three sides and is a triangle.

User Siegfoult
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1 Answer

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Final answer:

The verbal expression of the logical statement "-p ∧ q" translates to 'A polygon is not a triangle,' which negates the definition of a triangle having three sides.

Step-by-step explanation:

The verbal expression of the statement "-p ∧ q" is B) A polygon is not a triangle. When translating logical expressions into verbal expressions, the negative symbol (-) denotes negation or the logical 'not.' The conjunction symbol (∧) translates to 'and.' Therefore, considering the statement p as 'A polygon has three sides' (which is a definition of a triangle), the negation of this statement is 'A polygon does not have three sides,' which effectively means that the polygon is not a triangle. The q part of the statement could represent any other attribute unrelated to the triangular shape, thus making it irrelevant to the verbal expression sought.

User Harinsamaranayake
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