4. Consider the statement: "All Filipinos are law-abiding" a. Identify whether each of the following statement is equivalent to "All Filipinos are law- abiding." i. You are law-abiding only if you are a Filipino. ii. If you are not a Filipino, then you are not law-abiding. iii. If you are law-abiding, then you are a Filipino. iv. If you are a Filipino, then you are law-abiding. v. If you are not law-abiding, then you are not a Filipino.

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter1: Fundamentals
Section1.1: Sets
Problem 37E: Prove or disprove that AB=AC implies B=C.
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Hi, can someone help me with this? This is Logic and Reasoning: Mathematical Statements and Connectives. Thank you in advance!

 

 

4. Consider the statement: "All Filipinos are law-abiding"
a. Identify whether each of the following statement is equivalent to "All Filipinos are law-
abiding."
i. You are law-abiding only if you are a Filipino.
ii. If you are not a Filipino, then you are not law-abiding.
iii. If you are law-abiding, then you are a Filipino.
iv. If you are a Filipino, then you are law-abiding.
v. If you are not law-abiding, then you are not a Filipino.
Transcribed Image Text:4. Consider the statement: "All Filipinos are law-abiding" a. Identify whether each of the following statement is equivalent to "All Filipinos are law- abiding." i. You are law-abiding only if you are a Filipino. ii. If you are not a Filipino, then you are not law-abiding. iii. If you are law-abiding, then you are a Filipino. iv. If you are a Filipino, then you are law-abiding. v. If you are not law-abiding, then you are not a Filipino.
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