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Phase 1 IP Template (100 points total)

Part 1 (50 points total):

1) Define two sets: (7 points)

Set A = {1,2,4,5,6}
Set B = {2,3,6,8,9}

2) Define the Universal set that contains the two sets you created above. View the live chat or archives: (7 points)

U = {1,2,3,4,5,6,8,9}

3) State the union of the two sets you have defined above. (6 points)

AUB = {1,2,3,4,5,6,8,9}

4) State the intersection of the two sets you have defined above: (6 points)

AnB = {2,6}

5) State the complements of each set of the two sets you defined above: (6 points)

A\3,8,9
B\1,4,5
6) Illustrate both of DeMorgan’s Laws using Venn diagrams You will have separate Venn Diagrams for each Law.

7) Explain each of the two DeMorgan’s laws using layman’s terms: (6 points)

The first part says the complement of the union of sets A and B are the intersection of the complements of sets A and B.

The Second part says the complement of the intersection of sets A and B is the union of the complements of sets A and B. Part 2: (see hint below) (50 points total)

Fill out this table fully – use the PowerPoint Guide.
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Remember the Logic Rules:
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T ∧ T = T
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T ∧F = F
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F ∧ T = F
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F ∧F = F
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T V T = T
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T V F = T
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F V T = T
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T V T = T

Proposition | Truth Values Definitions | Your example explained | r | True | True | False | False | r: it is raining | s | True | False | True | False | s: it is cold | ¬ r | False | False | True | True | It is not raining | ¬s | False | True | False | True | It is not cold | r ∧ s | True | False | False | False | It is raining and cold | ¬ r v s | True | False | True | True | It is not raining and cold | r ∧ ¬s | False | True | False | False | it is raining AND it is not cold |