Math Problem Statement

The statement listed below is false. Let p represent the statement. ​p: The xy minus plane is a conic section.The xy−plane is a conic section. Express the symbolic statement ​~p in words. What can be concluded about the resulting verbal​ statement? Question content area bottom Part 1 In​ words, the symbolic statement ​~p is A.The xy minus plane is not a conic section. The xy minus plane is not a conic section.The xy−plane is not a conic section. B.The xy minus plane is a spherical section. The xy minus plane is a spherical section.The xy−plane is a spherical section. C.Some xy minus planes are not conic sections. Some xy minus planes are not conic sections.Some xy−planes are not conic sections. D.Some xy minus planes are conic sections. Some xy minus planes are conic sections.Some xy−planes are conic sections. Part 2 What can you conclude about the resulting verbal​ statement? A. The resulting verbal statement is true because p is false. B. The resulting verbal statement is false because it is a negation of the initial statement. C. The resulting verbal statement is the quantified statement of the initial verbal statement. D. The resulting verbal statement is equivalent to the initial verbal statement.

Solution

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Math Problem Analysis

Mathematical Concepts

Symbolic Logic
Conic Sections
Planes in Geometry

Formulas

-

Theorems

Negation in Logic

Suitable Grade Level

Grades 9-12