5. Given two conditions P andQ, there are four ways in which they might be related to each other. ▪P is necessary but not sufficient for Q. •P is sufficient but not necessary for Q. •P is both necessary and sufficient for Q. •P is neither necessary nor sufficient for Q. For each problem below, do the following: Determine whether P is necessary, sufficient, both necessary and sufficient, or neither necessary nor sufficient for Q. ii. i. Justify your answer to i). Write the symbolic notation for the implication, if any. iii. a) P="each side is equal in length to each of the others", Q ="it is a square" b) P="the person is a younger sibling", Q = "the person has an older sibling" c) P="it is a triangle", Q =“it has three sides"

5. Given two conditions P andQ, there are four ways in which they might be related to each other. ▪P is necessary but not sufficient for Q. •P is sufficient but not necessary for Q. •P is both necessary and sufficient for Q. •P is neither necessary nor sufficient for Q. For each problem below, do the following: Determine whether P is necessary, sufficient, both necessary and sufficient, or neither necessary nor sufficient for Q. ii. i. Justify your answer to i). Write the symbolic notation for the implication, if any. iii. a) P="each side is equal in length to each of the others", Q ="it is a square" b) P="the person is a younger sibling", Q = "the person has an older sibling" c) P="it is a triangle", Q =“it has three sides"

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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Concept explainers

Topological Sort

Topological sort is a sorting technique that sets up a hierarchy in a process. In this technique, when a directed network has nodes connected by arrows, the root node is placed before the successor node.

Question

5. Given two conditions P and Q, there are four ways in which they might be related to
each other.
•P is necessary but not sufficient for Q.
•P is sufficient but not necessary for Q.
•P is both necessary and sufficient for Q.
•P is neither necessary nor sufficient for Q.
For each problem below, do the following;
Determine whether P is necessary, sufficient, both necessary and
sufficient, or neither necessary nor sufficient for Q.
ii.
i.
Justify your answer to i).
Write the symbolic notation for the implication, if any.
iii.
a) P="each side is equal in length to each of the others", Q= "it is a square"
b) P="the person is a younger sibling", Q = "the person has an older sibling"
c) P="it is a triangle", Q =“it has three sides"

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