2. a) If A, B and C are three sets, complete the following De-Morgan's laws i. (Au B)= (An B)'= ii. ii. A-(Bu C)= A- ( B n C ) =| iv. b) If A and B are finite sets which are subsets of U. Establish a formula for n(AU B) in terms of n(A), n(B) and n(An B). Hence or otherwise deduce a formula for a particular case where A and B are disjoint?
2. a) If A, B and C are three sets, complete the following De-Morgan's laws i. (Au B)= (An B)'= ii. ii. A-(Bu C)= A- ( B n C ) =| iv. b) If A and B are finite sets which are subsets of U. Establish a formula for n(AU B) in terms of n(A), n(B) and n(An B). Hence or otherwise deduce a formula for a particular case where A and B are disjoint?
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
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Question
![2. a) If A, B and C are three sets, complete the following De-Morgan's laws
(A u B)=
(An B)3D
i.
i.
ii.
A-(Bu C)=
iv.
A- (Bn C ) =|
b) If A and B are finite sets which are subsets of U. Establish a formula for n(AU
B) in terms of n(A), n(B) and n(A n B). Hence or otherwise deduce a formula for
a particular case where A and B are disjoint?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fedc5914f-dd3f-418e-a73a-04dd6a70c801%2F491fbcd3-917d-4377-885d-5c5e01bdb2df%2Fmiorw8o_processed.jpeg&w=3840&q=75)
Transcribed Image Text:2. a) If A, B and C are three sets, complete the following De-Morgan's laws
(A u B)=
(An B)3D
i.
i.
ii.
A-(Bu C)=
iv.
A- (Bn C ) =|
b) If A and B are finite sets which are subsets of U. Establish a formula for n(AU
B) in terms of n(A), n(B) and n(A n B). Hence or otherwise deduce a formula for
a particular case where A and B are disjoint?
![1. In the following argument, determine the validity or otherwise of the
Statement:
a) "If you aren't polite, you won't be treated with respect. You aren't
treated with respect. Therefore, you aren't polite.
b) "If you play football during a thunderstorm, you'll get hit by
lightning. You didn't get hit by lightning. Therefore, you didn't play
football in a thunderstorm"
Therefore, taxes are lowered."
(i)
Write out the propositional-statements in the above argument?
(ii)
State the premise(s) and conclusion in the argument?
(iii). Using a truth table, determine the validity of the argument?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fedc5914f-dd3f-418e-a73a-04dd6a70c801%2F491fbcd3-917d-4377-885d-5c5e01bdb2df%2Fpzn19s5_processed.jpeg&w=3840&q=75)
Transcribed Image Text:1. In the following argument, determine the validity or otherwise of the
Statement:
a) "If you aren't polite, you won't be treated with respect. You aren't
treated with respect. Therefore, you aren't polite.
b) "If you play football during a thunderstorm, you'll get hit by
lightning. You didn't get hit by lightning. Therefore, you didn't play
football in a thunderstorm"
Therefore, taxes are lowered."
(i)
Write out the propositional-statements in the above argument?
(ii)
State the premise(s) and conclusion in the argument?
(iii). Using a truth table, determine the validity of the argument?
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