Let A, B, and C be sets, and let X = AU B. (a) Write Ix n c in terms of IAN CI, IBN C, and AnBn Cl. Hint: In the following Venn diagram, XnC is the shaded area. A B O JAN BNC| + |ANCI - IBN cl O LANCI + IBNC - JAN BN cl O IAN BNC| - |ANCI + IBn Cl O LANCI + IBNC| + |AN BNCl O LANCI - IAN BNC + BNC - JAN BN cl

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
icon
Related questions
Question
Let A, B, and C be sets, and let X = AU B.
(a) Write Ix n c in terms of IAN CI, IBN C, and AnBn Cl. Hint: In the following Venn diagram, XnC is the shaded area.
A
B
O IAN BNC| + |ANCI - IBN cl
O ANC + IBN C| - |AN BNCI
O JAN BNCIAN CI+ IBn Cl
O JANCI + IBN CI + JAN BNCI
O LANCI - IAN BNC + BNC - JAN BN cl
(b) Write |A U BU CI in terms of A, B, C, IAN BI, JAN CI, IBC, and AnBnC). (The result is the inclusion-exclusion principle for three sets.)
O AI + |B| + |C| - |AN BNCI
O A + B + |C| - |AN B|- |ANCI - IB n cl
O A + B + ICI- JAN BI - JANCI - IBN C +
AnBn Cl
O AI + |B| + |C| - |AN B|- |ANCI - IBN C| - |An Bn CI
O JAN BI + IANC + IBN C| - |A| - |B| = |C| + |AnBn Cl
Transcribed Image Text:Let A, B, and C be sets, and let X = AU B. (a) Write Ix n c in terms of IAN CI, IBN C, and AnBn Cl. Hint: In the following Venn diagram, XnC is the shaded area. A B O IAN BNC| + |ANCI - IBN cl O ANC + IBN C| - |AN BNCI O JAN BNCIAN CI+ IBn Cl O JANCI + IBN CI + JAN BNCI O LANCI - IAN BNC + BNC - JAN BN cl (b) Write |A U BU CI in terms of A, B, C, IAN BI, JAN CI, IBC, and AnBnC). (The result is the inclusion-exclusion principle for three sets.) O AI + |B| + |C| - |AN BNCI O A + B + |C| - |AN B|- |ANCI - IB n cl O A + B + ICI- JAN BI - JANCI - IBN C + AnBn Cl O AI + |B| + |C| - |AN B|- |ANCI - IBN C| - |An Bn CI O JAN BI + IANC + IBN C| - |A| - |B| = |C| + |AnBn Cl
Expert Solution
steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Introduction to classical planning
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, computer-science and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Database System Concepts
Database System Concepts
Computer Science
ISBN:
9780078022159
Author:
Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:
McGraw-Hill Education
Starting Out with Python (4th Edition)
Starting Out with Python (4th Edition)
Computer Science
ISBN:
9780134444321
Author:
Tony Gaddis
Publisher:
PEARSON
Digital Fundamentals (11th Edition)
Digital Fundamentals (11th Edition)
Computer Science
ISBN:
9780132737968
Author:
Thomas L. Floyd
Publisher:
PEARSON
C How to Program (8th Edition)
C How to Program (8th Edition)
Computer Science
ISBN:
9780133976892
Author:
Paul J. Deitel, Harvey Deitel
Publisher:
PEARSON
Database Systems: Design, Implementation, & Manag…
Database Systems: Design, Implementation, & Manag…
Computer Science
ISBN:
9781337627900
Author:
Carlos Coronel, Steven Morris
Publisher:
Cengage Learning
Programmable Logic Controllers
Programmable Logic Controllers
Computer Science
ISBN:
9780073373843
Author:
Frank D. Petruzella
Publisher:
McGraw-Hill Education