Consider these statements: i) Tom, a student in this class, knows how to write programs in Java. ii) Everyone who knows how to write programs in Java can get a high-paying job. iii) Someone in this class can get a high paying job. a) Let P(x) = x is in this class Q(x) = x knows how to write program in Java R(x) = x can get a high pay job Express the statements using quantifiers, P(x), Q(x) and R(x).

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter2: Working With Real Numbers
Section2.1: Basic Assumptions
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Consider these statements:
i) Tom, a student in this class, knows how to write programs in Java.
ii) Everyone who knows how to write programs in Java can get a high-paying job.
iii) Someone in this class can get a high paying job.
a) Let P(x) = x is in this class
Q(x) = x knows how to write program in Java
R(x) = x can get a high pay job
Express the statements using quantifiers, P(x), Q(x) and R(x).
b) Prove by formal reasoning that the premises i) & ii) imply the conclusion i).
Transcribed Image Text:Consider these statements: i) Tom, a student in this class, knows how to write programs in Java. ii) Everyone who knows how to write programs in Java can get a high-paying job. iii) Someone in this class can get a high paying job. a) Let P(x) = x is in this class Q(x) = x knows how to write program in Java R(x) = x can get a high pay job Express the statements using quantifiers, P(x), Q(x) and R(x). b) Prove by formal reasoning that the premises i) & ii) imply the conclusion i).
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