(a) Assume that Prove that or(Theorem 4.4.4, part (b)).(b) Give an example of sets A and

Chapter 4, Problem 5

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QUESTION:

(a) Assume that Prove that or(Theorem 4.4.4, part (b)).(b) Give an example of sets A and B and functions F and G such that

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QUESTION:

(a) Assume that Prove that or(Theorem 4.4.4, part (b)).(b) Give an example of sets A and B and functions F and G such that

ANSWER:

Step 1 of 3

(a)

Assume now that  and ,

If , then  and . Consider  then  and . Then,  is one-to-one.

As . If , then .

Therefore, . Similarly, .

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