Solution Found!
Let W(x. y) mean that student .x has visited website y,
Chapter 7, Problem 5E(choose chapter or problem)
Let \(W(x, y)\) mean that student \(x\) has visited website \(y\), where the domain for \(x\) consists of all students in your school and the domain for y consists of all websites. Express each of these statements by a simple English sentence.
a) \(W\)(Sarah Smith, www.att.com)
b) \(\exists x W(x\) www. imdb.org)
c) \(\existsyW\)(José Orez, y)
d) \(\existsy(W(\)Ashok Puri, \(y)\wedge W(\) Cindy Yoon, y))
e) \(\exists y \forall z(y \neq(\) David Belcher \() \wedge(W(\)David Belcher, \(z) \rightarrow W(y, z)))\)
f) \(\exists x \exists y \forall z((x \neq y) \wedge(W(x, z) \leftrightarrow W(y, z)))\)
Equation Transcription:
∃xW(x
∃yW
∃y∀z(y
∃x∃y∀z((x y) ∧ (W (x, z) ↔ W (y, z)))
Text Transcription:
W (x, y)
\exists x W(x
\existsyW
\exists y \forall z(y \neq
exists x \exists y \forall z((x \neq y) \wedge(W(x, z) \leftrightarrow W(y, z)))
Questions & Answers
QUESTION:
Let \(W(x, y)\) mean that student \(x\) has visited website \(y\), where the domain for \(x\) consists of all students in your school and the domain for y consists of all websites. Express each of these statements by a simple English sentence.
a) \(W\)(Sarah Smith, www.att.com)
b) \(\exists x W(x\) www. imdb.org)
c) \(\existsyW\)(José Orez, y)
d) \(\existsy(W(\)Ashok Puri, \(y)\wedge W(\) Cindy Yoon, y))
e) \(\exists y \forall z(y \neq(\) David Belcher \() \wedge(W(\)David Belcher, \(z) \rightarrow W(y, z)))\)
f) \(\exists x \exists y \forall z((x \neq y) \wedge(W(x, z) \leftrightarrow W(y, z)))\)
Equation Transcription:
∃xW(x
∃yW
∃y∀z(y
∃x∃y∀z((x y) ∧ (W (x, z) ↔ W (y, z)))
Text Transcription:
W (x, y)
\exists x W(x
\existsyW
\exists y \forall z(y \neq
exists x \exists y \forall z((x \neq y) \wedge(W(x, z) \leftrightarrow W(y, z)))
ANSWER:Solution:
Step1
Given that
Suppose W(x. y) mean that student .x has visited website y, where the domain for .x consists of all students in our school and the domain for y consists of all websites.
Step2
To find
Express each of these statements by a simple English sentence.
Step3
From the given statement we are finding that
a.
means Sarah Smith has gone by www.att.com.
Step4
b.