SOLUTION: A. Identify which collections are sets. Explain your answer. 1. collection of employees in the Registrar's Office 2. collection of young people in the campus 3. collection of t

Question 1183909: A. Identify which collections are sets. Explain your answer.
1. collection of employees in the Registrar's Office
2. collection of young people in the campus
3. collection of textbooks in Grade 7
4. collection of fruit-bearing trees
5. collection of comfortable footwear
B. Use the roster method and the set-builder notation to write the following sets.
1. The set of counting numbers from 1 to 10
2. The set of vowels in the English alphabet
3. The set of counting numbers divisible by 3 and less than 19
4. The set of factors of 12
5. The set of consonants in the word "ALGEBRA"
6. The set of months in the year that begins with B
7. The set of letters in the word "CALCULATORS"
C. Give the cardinalities of the sets given in Part B.
D. Find all the subsets of the given sets.
1. A = {1}
2. B = {1, 2}
3. C = (1, 2, 3}
4. D= (1, 2, 3, 4)
E. Make a generalization on the number of subsets of a set containing n elements based on your answers obtained in Exercise D.
F. Give examples of two sets A and B where A is a proper subset of B.

Answer by greenestamps(13203) (Show Source): You can put this solution on YOUR website!

Your post contains several related but different problems; the rule of the forum is one question per post. A is one problem; B and C together are a different problem; D and E are a third problem; and F is a separate fourth problem. Re-post them separately.

All of the problems are quite basic, with clear instructions; you should be able to work them yourself. If you are really having difficulties with them, then tell us what those difficulties are (as the instructions for making a post tell you to do.)

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