2. Assuming that A and B represent any two sets, identify each statement as either always true ornot always true, and provide an example (Venn diagram) to prove your statement.a) Ac(AUB)d) Ac(ANB)b) AN A' = Øe) AU A' =Uc) (ANB)C A) (AU B)C A Math 300 – Section 2.3 HomeworkName1. Place the elements of these sets in the proper location on the given Venn diagram:U = {m, n, o, p, q, r, s, t, u, v, w}BА 3D {m, п, р, q, r, 1}В %3D {m, о, р, q, s, u}- {m, о, р, r, s, t, и, v}C =

Name: 2. Assuming that A and B represent any two sets, identify each statem
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Description: 2. Assuming that A and B represent any two sets, identify each statement as either always true ornot always true, and provide an example (Venn diagram) to prove your statement.a) Ac(AUB)d) Ac(ANB)b) AN A' = Øe) AU A' =Uc) (ANB)C A) (AU B)C A Math 30

Answered: (Venn diagram)

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section10.7: Distinguishable Permutations And Combinations

Problem 29E

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2. Assuming that A and B represent any two sets, identify each statement as either always true or
not always true, and provide an example (Venn diagram) to prove your statement.
a) Ac(AUB)
d) Ac(ANB)
b) AN A' = Ø
e) AU A' =U
c) (ANB)C A
) (AU B)C A

Math 300 – Section 2.3 Homework
Name
1. Place the elements of these sets in the proper location on the given Venn diagram:
U = {m, n, o, p, q, r, s, t, u, v, w}
B
А 3D {m, п, р, q, r, 1}
В %3D {m, о, р, q, s, u}
- {m, о, р, r, s, t, и, v}
C =

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Step 1

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Statement: $A \subseteq (A \cup B)$

The set $(A \cup B)$ is the set containing the elements which belong to set A or set B, or both. The corresponding Venn diagram is given below,

Clearly, the set A lies inside the region $(A \cup B)$ , so all the elements of set A belong to the set $(A \cup B)$ . Therefore, set A will be a subset of set $(A \cup B)$ .

Thus, the given statement is always True.

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