a. Make a truth table for p -a (the inverse of p → q). Your first two columns should be the same as the first two columns of the table for p - q. The last columns of the two tables should be different. Are they? Is ~p → ~q logically equivalent to p q? b. Compare the truth table for ~p - ~g (the inverse of p - q) with the truth table for g-p (the converse of p - g). Are the last columns the same? Are the inverse and the converse logically equivalent?

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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a. Make a truth table for p
-a (the inverse of p → q). Your first
two columns should be the same as the first two columns of the table
for p - q. The last columns of the two tables should be different.
Are they? Is ~p → ~q logically equivalent to p q?
b. Compare the truth table for ~p - ~g (the inverse of p - q) with the
truth table for g-p (the converse of p - g). Are the last columns
the same? Are the inverse and the converse logically equivalent?
Transcribed Image Text:a. Make a truth table for p -a (the inverse of p → q). Your first two columns should be the same as the first two columns of the table for p - q. The last columns of the two tables should be different. Are they? Is ~p → ~q logically equivalent to p q? b. Compare the truth table for ~p - ~g (the inverse of p - q) with the truth table for g-p (the converse of p - g). Are the last columns the same? Are the inverse and the converse logically equivalent?
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