### Problem 4: Translation of Statements into SymbolsLet \( P(x, y) \) denote "x sent a text message to y." The universe of discourse (u.d.) for both \( x \) and \( y \) is all people. Translate the following statements into symbolic form:**a. Everyone has sent a text message to someone.**Translated Symbolically: \[ \forall x \, \exists y \, P(x, y) \]This can be read as: "For every person \( x \), there exists a person \( y \) such that \( x \) sent a text message to \( y \)."**b. Everyone has been sent a text message by someone.**Translated Symbolically:\[ \forall x \, \exists y \, P(y, x) \]This can be read as: "For every person \( x \), there exists a person \( y \) such that \( y \) sent a text message to \( x \)."

Given: Given the following translate into symbols.

(4) 4. Let P(x,y)= "x sent a text message to y." The u.d. for both x and y is all people. Translate into symbols: a. Everyone has sent a text message to someone. b. Everyone has been sent a text message by someone.

(4) 4. Let P(x,y)= "x sent a text message to y." The u.d. for both x and y is all people. Translate into symbols: a. Everyone has sent a text message to someone. b. Everyone has been sent a text message by someone.

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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