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Exercise 4.1. Suppose that the possible values of x are all the people in the world. Let P(x) stand for the statement “x has a pet named Puffin”, Q(x) stand for the statement "x likes pickles", and R(x) stand for the statement “x has the middle name Thomas”. Rewrite the following expressions into words: a) VxP(x) b) 3x(R(x) ↔ Q(x)) c) 3x((P(x) ^ Q(x)) ^ R(x)) d) Vx(³y((P(x) ^ Q(y)) ✓ ((~P(y)) ^ Q(x))))

Exercise 4.1. Suppose that the possible values of x are all the people in the world. Let P(x) stand for the statement “x has a pet named Puffin”, Q(x) stand for the statement "x likes pickles", and R(x) stand for the statement “x has the middle name Thomas”. Rewrite the following expressions into words: a) VxP(x) b) 3x(R(x) ↔ Q(x)) c) 3x((P(x) ^ Q(x)) ^ R(x)) d) Vx(³y((P(x) ^ Q(y)) ✓ ((~P(y)) ^ Q(x))))

Advanced Engineering Mathematics
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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Exercise 4.1. Suppose that the possible values of x are all the people in the world. Let P(x) stand for the statement “x has a pet named Puffin", Q(x) stand for the statement 66 66 66 x likes pickles”, and R(x) stand for the statement “x has the middle name Thomas". Rewrite the following expressions into words: a) VxP(x) b) 3x(R(x) → Q(x)) c) 3x((P(x) ^ Q(x)) ^ R(x)) d) \x(³y((P(x) ^ Q(y)) v ((~P(y)) ^ Q(x))))
Transcribed Image Text:Exercise 4.1. Suppose that the possible values of x are all the people in the world. Let P(x) stand for the statement “x has a pet named Puffin", Q(x) stand for the statement 66 66 66 x likes pickles”, and R(x) stand for the statement “x has the middle name Thomas". Rewrite the following expressions into words: a) VxP(x) b) 3x(R(x) → Q(x)) c) 3x((P(x) ^ Q(x)) ^ R(x)) d) \x(³y((P(x) ^ Q(y)) v ((~P(y)) ^ Q(x))))
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