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Define the sets A, B, C, D, and E as follows: • A = {x € R: x < -2} E • B = {x € R: x > 2} • C = {x € R: |x| <2} E • D = {x € R: |x| ≤ 2} • E = {x € R: x ≤ -2} Use the definitions for A, B, C, D, and E to answer the question: Do the sets A, B, and C form a partition of R? If not, which condition of a partition is not satisfied?

Define the sets A, B, C, D, and E as follows: • A = {x € R: x < -2} E • B = {x € R: x > 2} • C = {x € R: |x| <2} E • D = {x € R: |x| ≤ 2} • E = {x € R: x ≤ -2} Use the definitions for A, B, C, D, and E to answer the question: Do the sets A, B, and C form a partition of R? If not, which condition of a partition is not satisfied?

Database System Concepts
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
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Define the sets A, B, C, D, and E as follows: • A = {x € R: x < -2 -2} • B = {x € R: x > 2} E • C = {x € R: |x| <2} E • D = {x € R: |x| ≤ 2} • E = {x € R: x ≤ -2} Use the definitions for A, B, C, D, and E to answer the question: Do the sets A, B, and C form a partition of R? If not, which condition of a partition is not satisfied? No. AU BUC # R because 2, -2 & Au Bu C. No. Because Au BUC = R Yes. A u BuC # R because 2, -2# AU BU C. Yes. A u Bu C =R because 2, -2 & Au Bu C. U
Transcribed Image Text:Define the sets A, B, C, D, and E as follows: • A = {x € R: x < -2 -2} • B = {x € R: x > 2} E • C = {x € R: |x| <2} E • D = {x € R: |x| ≤ 2} • E = {x € R: x ≤ -2} Use the definitions for A, B, C, D, and E to answer the question: Do the sets A, B, and C form a partition of R? If not, which condition of a partition is not satisfied? No. AU BUC # R because 2, -2 & Au Bu C. No. Because Au BUC = R Yes. A u BuC # R because 2, -2# AU BU C. Yes. A u Bu C =R because 2, -2 & Au Bu C. U
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