1. Write the expression in set builder notation. Also provide the number line. (-10,3] N [-5, 5) 2. A = {1, 3,5} B= {red, green} Find out the power sets of set A and B. Also write down the cartesian product of A and B. What's the cardinality of this cartesian product? 3. Use set builder notation to establish the first De Morgan law A' n B' = (A U B)' 4. A travel group has 105 travelers. Of them, 50 travelers already visited India, 30 Nepal, 20 Bhutan, 6 both India and Nepal, 1 both India and Bhutan, 5 Nepal and Bhutan, and one of them visited all the 3 countries.
1. Write the expression in set builder notation. Also provide the number line. (-10,3] N [-5, 5) 2. A = {1, 3,5} B= {red, green} Find out the power sets of set A and B. Also write down the cartesian product of A and B. What's the cardinality of this cartesian product? 3. Use set builder notation to establish the first De Morgan law A' n B' = (A U B)' 4. A travel group has 105 travelers. Of them, 50 travelers already visited India, 30 Nepal, 20 Bhutan, 6 both India and Nepal, 1 both India and Bhutan, 5 Nepal and Bhutan, and one of them visited all the 3 countries.
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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![Set:
1. Write the expression in set builder notation. Also provide the number line.
(-10,3] N [-5, 5)
2. A= {1, 3,5} B= {red, green}
Find out the power sets of set A and B. Also write down the cartesian product of A and B.
What's the cardinality of this cartesian product?
3. Use set builder notation to establish the first De Morgan law
A' O B' =
: (A U B)'
4. A travel group has 105 travelers. Of them, 50 travelers already visited India, 30 Nepal, 20
Bhutan, 6 both India and Nepal, 1 both India and Bhutan, 5 Nepal and Bhutan, and one of them
visited all the 3 countries.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd118142b-19f6-4503-9235-b485f2b2adc2%2F7e16fead-579f-4dad-85e8-b3c8fe544d8f%2Fk16d3hd_processed.png&w=3840&q=75)
Transcribed Image Text:Set:
1. Write the expression in set builder notation. Also provide the number line.
(-10,3] N [-5, 5)
2. A= {1, 3,5} B= {red, green}
Find out the power sets of set A and B. Also write down the cartesian product of A and B.
What's the cardinality of this cartesian product?
3. Use set builder notation to establish the first De Morgan law
A' O B' =
: (A U B)'
4. A travel group has 105 travelers. Of them, 50 travelers already visited India, 30 Nepal, 20
Bhutan, 6 both India and Nepal, 1 both India and Bhutan, 5 Nepal and Bhutan, and one of them
visited all the 3 countries.
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