2. Consider the collections C = {penny, nickel, dime, quarter} D = {penny, nickel, nickel, dime, quarter, quarter, quarter} (a) Are the collections C and D equal? Why/why not? (b) If D is a set, explain why we must conclude C and D are equal. (c) What does this say about collections where elements are repeated?

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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In the following, use only the following ideas about sets:
• A set is a collection of elements,
• Two sets are equal if they have the same elements.
2. Consider the collections
C = {penny, nickel, dime, quarter}
{penny, nickel, nickel, dime, quarter, quarter, quarter}
(a) Are the collections C and D equal? Why/why not?
(b) If D is a set, explain why we must conclude C and D are equal.
(c) What does this say about collections where elements are repeated?
Transcribed Image Text:In the following, use only the following ideas about sets: • A set is a collection of elements, • Two sets are equal if they have the same elements. 2. Consider the collections C = {penny, nickel, dime, quarter} {penny, nickel, nickel, dime, quarter, quarter, quarter} (a) Are the collections C and D equal? Why/why not? (b) If D is a set, explain why we must conclude C and D are equal. (c) What does this say about collections where elements are repeated?
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