Invent an interesting set A with AC {a, b, c, d, e, ..., z} and |A|≥ 6 and another interesting set B with B C {1, 2, 3, ..., 100} and |B| ≥ 5. (a) (b) (c) one-to-one. Give two examples of elements of A × B. What is A x B|? Give an example of a function from A to B that is not
Invent an interesting set A with AC {a, b, c, d, e, ..., z} and |A|≥ 6 and another interesting set B with B C {1, 2, 3, ..., 100} and |B| ≥ 5. (a) (b) (c) one-to-one. Give two examples of elements of A × B. What is A x B|? Give an example of a function from A to B that is not
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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Transcribed Image Text:2.
Invent an interesting set A with AC {a, b, c, d, e, ..., z} and
|A|≥ 6 and another interesting set B with B C {1, 2, 3,..., 100} and
|B| ≥ 5.
(a)
(b)
(c)
(d)
(f)
one-to-one.
one-to-one.
onto.
briefly.
Give two examples of elements of A × B.
What is A x B|?
Give an example of a function from A to B that is not
Give an example of a function from A to B that is
Give an example of a function from A to B that is
How many functions are there from B to A? Explain
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Follow-up Question
d) Give an example of a function from A to B that is
one-to-one.
e) Give an example of a function from A to B that is
onto.
f) How many functions are there from B to A? Explain
briefly.
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