Let A, B, C be sets in the universal set U. a) Identify in a Venn diagram the set of (see image below). b) Prove or disprove: (see image below). c) Suppose that A, B, C are not empty. Prove or disprove: If (see image below) and (see image below), then {A, B, C} is a partition of U.
Let A, B, C be sets in the universal set U. a) Identify in a Venn diagram the set of (see image below). b) Prove or disprove: (see image below). c) Suppose that A, B, C are not empty. Prove or disprove: If (see image below) and (see image below), then {A, B, C} is a partition of U.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
Discrete mathematics for computer science : (Questions in the pictures are in french but are translated below, the picture is here for the equations)
Let A, B, C be sets in the universal set U.
a) Identify in a Venn diagram the set of (see image below).
b) Prove or disprove: (see image below).
c) Suppose that A, B, C are not empty. Prove or disprove: If (see image below) and (see image below), then {A, B, C} is a partition of U.
Transcribed Image Text:Soit A, B,C des ensembles dans l'ensemble universel U.
(a) Identifier dans un diagramme de Venn l'ensemble Cn(AUB).
(b) Prouvez ou infirmez : Cn(AUB) = čn (ĀUB).
(c) Supposons que A, B,C ne sont pas vides. Prouvez ou infirmez : Si ANB = 0 et BnC = 0
et AUBUC = U, alors {A, B,C} est une partition de U.
Expert Solution
Step 1
A Venn diagram is the diagrammatic representation of sets. It illustrates the relationship between the sets.
Each set is represented by a circle. The universal set is represented by a rectangle.
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Solved in 4 steps with 4 images
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