2. Let A(x) be the statement "x has apples," C(x) be the statement "x has cherries," and B(x, y) be the statement "x is better than y," where the domain of x and y consists of all pies. Which logical expression corresponds to the following statement? "There is some pie that has apples that is better than every pie that has cherries." a. ‡xVy(A(x) ^ (C(y) → B (x, y))) b. xvy(A(x) ^ C(y) ^ B (x, y)) c. 3xVy((A(x) ^ C(y)) → B (x, y)) d. 3xVy(A(x) → (C(y) ^ B (x, y)))

2. Let A(x) be the statement "x has apples," C(x) be the statement "x has cherries," and B(x, y) be the statement "x is better than y," where the domain of x and y consists of all pies. Which logical expression corresponds to the following statement? "There is some pie that has apples that is better than every pie that has cherries." a. ‡xVy(A(x) ^ (C(y) → B (x, y))) b. xvy(A(x) ^ C(y) ^ B (x, y)) c. 3xVy((A(x) ^ C(y)) → B (x, y)) d. 3xVy(A(x) → (C(y) ^ B (x, y)))

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

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Question

2. Let A(x) be the statement "x has apples," C(x) be the statement "x has cherries," and B(x, y)
be the statement "x is better than y," where the domain of x and y consists of all pies. Which
logical expression corresponds to the following statement?
"There is some pie that has apples that is better than every pie that has cherries."
a. 3xVy(A(x) ^ (C(y) → B (x, y)))
b. xvy(A(x)^C(y) ^ B (x, y))
c. xvy((A(x) ^ C(y)) → B (x, y))
d. 3xVy(A(x) → (C(y) ^ B (x, y)))

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