2. Let set A be a subset of the universal set U. Determine all conditions that must hold for the following to be true. AUU=0 3. Let A, B and C be subsets of the universal set U. Draw the Venn diagram for U BN (AUC). B 4. Let A, B and C be subsets of the universal set U. Draw the Venn diagram for (CUB)N(A–C). U C B SHOW ALL YOUR WORK! 1. Let sets X, Y, and Z be subsets of the universal set U. Using Venn diagrams, demonstrate if the following statement is true or false. Make your case CLEAR whether the statement is true or false and why. Y-(XNZ)=(X-Y)U(X-Z) U 'Z Y U ✗ Y N 'Z

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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Related questions
Question
2. Let set A be a subset of the universal set U. Determine all conditions that must hold
for the following to be true. AUU=0
3. Let A, B and C be subsets of the universal set U. Draw the Venn diagram for
U
BN (AUC).
B
4. Let A, B and C be subsets of the universal set U. Draw the Venn diagram for
(CUB)N(A–C).
U
C
B
Transcribed Image Text:2. Let set A be a subset of the universal set U. Determine all conditions that must hold for the following to be true. AUU=0 3. Let A, B and C be subsets of the universal set U. Draw the Venn diagram for U BN (AUC). B 4. Let A, B and C be subsets of the universal set U. Draw the Venn diagram for (CUB)N(A–C). U C B
SHOW ALL YOUR WORK!
1. Let sets X, Y, and Z be subsets of the universal set U. Using Venn diagrams,
demonstrate if the following statement is true or false.
Make your case CLEAR whether the statement is true or false and why.
Y-(XNZ)=(X-Y)U(X-Z)
U
'Z
Y
U
✗
Y
N
'Z
Transcribed Image Text:SHOW ALL YOUR WORK! 1. Let sets X, Y, and Z be subsets of the universal set U. Using Venn diagrams, demonstrate if the following statement is true or false. Make your case CLEAR whether the statement is true or false and why. Y-(XNZ)=(X-Y)U(X-Z) U 'Z Y U ✗ Y N 'Z
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