1. Let set U = {n | n E whole numbers, 10 < n < 30 }; set B = {b|b E even numbers}; set C = {c|c E natural numbers, c > 10 and c < 30}; BC C; CCU. Answer all the following questions: a. Write down all the possible proper subsets for C and find |C]. b. Write down all the possible proper subsets for B and find |B|. c. Construct a Venn diagram based on the given sets. d. Find cardinality of symmetric difference of set B and set C. 2. Let set A = {s, u, b}; set B = {s, e, t}; set C = {n, e, t}.

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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1. Let set U = {n | n E whole numbers, 10 < n < 30 };
set B = {b|b E even numbers};
set C = {c|c E natural numbers, c > 10 and c < 30};
BC C;
CCU.
Answer all the following questions:
a. Write down all the possible proper subsets for C and find |C].
b. Write down all the possible proper subsets for B and find |B|.
c. Construct a Venn diagram based on the given sets.
d. Find cardinality of symmetric difference of set B and set C.
2. Let set A = {s, u, b};
set B = {s, e, t};
set C = {n, e, t}.
Answer all the following questions:
a. Find |P(A).
b. Find A U BnC
c. Find ANBUC
d. Find A –B
e. Find B x C
Transcribed Image Text:1. Let set U = {n | n E whole numbers, 10 < n < 30 }; set B = {b|b E even numbers}; set C = {c|c E natural numbers, c > 10 and c < 30}; BC C; CCU. Answer all the following questions: a. Write down all the possible proper subsets for C and find |C]. b. Write down all the possible proper subsets for B and find |B|. c. Construct a Venn diagram based on the given sets. d. Find cardinality of symmetric difference of set B and set C. 2. Let set A = {s, u, b}; set B = {s, e, t}; set C = {n, e, t}. Answer all the following questions: a. Find |P(A). b. Find A U BnC c. Find ANBUC d. Find A –B e. Find B x C
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