Let P(x) be the statement “Student x knows calculus" and let Q(y) be the statement “Class y contains a student who knows calculus." Express each of these as quantifications of P(x) and Q(y). a) Some students know calculus. b) Not every student knows calculus. c) Every class has a student in it who knows calculus.
Let P(x) be the statement “Student x knows calculus" and let Q(y) be the statement “Class y contains a student who knows calculus." Express each of these as quantifications of P(x) and Q(y). a) Some students know calculus. b) Not every student knows calculus. c) Every class has a student in it who knows calculus.
Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter2: The Integers
Section2.3: Divisibility
Problem 10TFE
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Q.no a,b,c
![1. Let P(x) be the statement "Student x knows calculus" and let Q(y) be the statement "Class y
contains a student who knows calculus." Express each of these as quantifications of P(x) and
Q(y).
a) Some students know calculus.
b) Not every student knows calculus.
c) Every class has a student in it who knows calculus.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9e99bfa3-920c-4ec2-a80e-f8e2d7ca73c5%2F8b7b9b93-74c0-4249-bd79-2eb729cacb74%2Fx9ld54j_processed.png&w=3840&q=75)
Transcribed Image Text:1. Let P(x) be the statement "Student x knows calculus" and let Q(y) be the statement "Class y
contains a student who knows calculus." Express each of these as quantifications of P(x) and
Q(y).
a) Some students know calculus.
b) Not every student knows calculus.
c) Every class has a student in it who knows calculus.
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