Sometimes the notation for the cardinality (number of elements) of a set is |A|. For example, for set A = {a, b, c} we can write: |A| = 3 because A has 3 elements. Determine the cardinality of the following sets and explain how you got it: 1. A= {3, 4, 5, .. ., 17} 2. B = {n is an Integer | 4sns 196} 3. C = {n = 2k with k Integer | 0 s ns 100} 4. Suppose |X| = 5, |Y| = 5 and |XNY| = 7, what is |XUY|? 5. Suppose |X| = 8, |Y| = 6 and |XNY| = 6, what is |XUY|?
Sometimes the notation for the cardinality (number of elements) of a set is |A|. For example, for set A = {a, b, c} we can write: |A| = 3 because A has 3 elements. Determine the cardinality of the following sets and explain how you got it: 1. A= {3, 4, 5, .. ., 17} 2. B = {n is an Integer | 4sns 196} 3. C = {n = 2k with k Integer | 0 s ns 100} 4. Suppose |X| = 5, |Y| = 5 and |XNY| = 7, what is |XUY|? 5. Suppose |X| = 8, |Y| = 6 and |XNY| = 6, what is |XUY|?
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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
Transcribed Image Text:Sometimes the notation for the cardinality (number of elements) of a set is |A|. For example, for set
A = {a, b, c} we can write: |A| = 3 because A has 3 elements.
Determine the cardinality of the following sets and explain how you got it:
1. A= {3, 4, 5, .. ., 17}
2. B = {n is an Integer | 4sns 196}
3. C = {n = 2k with k Integer | 0 s ns 100}
4. Suppose |X| = 5, |Y| = 5 and |XNY| = 7, what is |XUY|?
5. Suppose |X| = 8, |Y| = 6 and |XNY| = 6, what is |XUY|?
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