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1. An online shopping platform has given two types of saving to its members who either have taken one dose of vaccination or completed two (2) doses of vaccination for Covid- 19 when they purchase the products online. The entitled members can either enjoy a discount of 15% or cashback of 15%. For the selection of saving for their purchase, a member can only choose either discount or cashback but not both of them. The propositional variables for the above statements are shown below: p: The member has received the first dose of vaccination. q: The member has received the second dose of vaccination. r: The member chooses a discount of 15%. s: The member chooses a cashback of 15%. The validity of the saving is represented by the compound proposition (pv q) (r Ⓒ s). Generate a truth table for the compound proposition.

1. An online shopping platform has given two types of saving to its members who either have taken one dose of vaccination or completed two (2) doses of vaccination for Covid- 19 when they purchase the products online. The entitled members can either enjoy a discount of 15% or cashback of 15%. For the selection of saving for their purchase, a member can only choose either discount or cashback but not both of them. The propositional variables for the above statements are shown below: p: The member has received the first dose of vaccination. q: The member has received the second dose of vaccination. r: The member chooses a discount of 15%. s: The member chooses a cashback of 15%. The validity of the saving is represented by the compound proposition (pv q) (r Ⓒ s). Generate a truth table for the compound proposition.

Computer Networking: A Top-Down Approach (7th Edition)
Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
Section: Chapter Questions
Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
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1. An online shopping platform has given two types of saving to its members who either have taken one dose of vaccination or completed two (2) doses of vaccination for Covid- 19 when they purchase the products online. The entitled members can either enjoy a discount of 15% or cashback of 15%. For the selection of saving for their purchase, a member can only choose either discount or cashback but not both of them. The propositional variables for the above statements are shown below: p: The member has received the first dose of vaccination. q: The member has received the second dose of vaccination. r: The member chooses a discount of 15%. s: The member chooses a cashback of 15%. The validity of the saving is represented by the compound proposition (pv q) ^ (r s). Generate a truth table for the compound proposition. h. In the same truth table for the answer la, generate the necessary columns of truth values for the compound proposition (pv q)^(rs). What can you conclude based on the comparison between (pv q) ^ (rs) and (pv g)-([+s)? c. Based on the results of the truth tables in 1b, determine the truth values for the compound proposition (pv q) ^ (rs) in the last row when a member fulfills the criteria in Table 1.
Transcribed Image Text:1. An online shopping platform has given two types of saving to its members who either have taken one dose of vaccination or completed two (2) doses of vaccination for Covid- 19 when they purchase the products online. The entitled members can either enjoy a discount of 15% or cashback of 15%. For the selection of saving for their purchase, a member can only choose either discount or cashback but not both of them. The propositional variables for the above statements are shown below: p: The member has received the first dose of vaccination. q: The member has received the second dose of vaccination. r: The member chooses a discount of 15%. s: The member chooses a cashback of 15%. The validity of the saving is represented by the compound proposition (pv q) ^ (r s). Generate a truth table for the compound proposition. h. In the same truth table for the answer la, generate the necessary columns of truth values for the compound proposition (pv q)^(rs). What can you conclude based on the comparison between (pv q) ^ (rs) and (pv g)-([+s)? c. Based on the results of the truth tables in 1b, determine the truth values for the compound proposition (pv q) ^ (rs) in the last row when a member fulfills the criteria in Table 1.
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