Given the following definitions: • S: the domain of all CPSC 121 students. • G: the domain of all graded CPSC 121 activities. • A(r, y): student z earns an "A" grade on activity y • B(x): student z receives a colourful balloon (from the CPSC 121 teaching team). Now consider the predicate logic statements: Statement 01: Vr E S, Vg E G, A(r, g) > B(r) Statement 02: Vx € S, (Vg E G, A(r, g)) B(x) Statement 03: Vr E S, (Vg E G, (VyE S, A(y,g))) B(x) Describe how these statements differ, in terms of who receives a balloon and under what conditions.
Given the following definitions: • S: the domain of all CPSC 121 students. • G: the domain of all graded CPSC 121 activities. • A(r, y): student z earns an "A" grade on activity y • B(x): student z receives a colourful balloon (from the CPSC 121 teaching team). Now consider the predicate logic statements: Statement 01: Vr E S, Vg E G, A(r, g) > B(r) Statement 02: Vx € S, (Vg E G, A(r, g)) B(x) Statement 03: Vr E S, (Vg E G, (VyE S, A(y,g))) B(x) Describe how these statements differ, in terms of who receives a balloon and under what conditions.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![Given the following definitions:
• S: the domain of all CPSC 121 students.
• G: the domain of all graded CPSC 121 activities.
A(r, y): student z earns an "A" grade on activity y
B(r): student z receives a colourful balloon (from the CPSC 121 teaching team).
Now consider the predicate logic statements:
Statement 01: Vr E S, Vg E G, A(r, g) ++ B(x)
Statement 02: Vr E S, (Vg E G, A(r, g)) + B(r)
Statement 03: Vr E S, (Vg E G, (Vy E S, A(y, 9)) B(x)
Describe how these statements differ, in terms of who receives a balloon and under what
conditions.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F66241fa5-ae81-41bd-8e49-3f08b92f2387%2F57741ea6-82da-4743-aaec-584df801c7bf%2Ff7w7dj_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Given the following definitions:
• S: the domain of all CPSC 121 students.
• G: the domain of all graded CPSC 121 activities.
A(r, y): student z earns an "A" grade on activity y
B(r): student z receives a colourful balloon (from the CPSC 121 teaching team).
Now consider the predicate logic statements:
Statement 01: Vr E S, Vg E G, A(r, g) ++ B(x)
Statement 02: Vr E S, (Vg E G, A(r, g)) + B(r)
Statement 03: Vr E S, (Vg E G, (Vy E S, A(y, 9)) B(x)
Describe how these statements differ, in terms of who receives a balloon and under what
conditions.
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