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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Question

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 Questions

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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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