Find an example to each of the following: a) Sequences {Xn} and {Yn} such that they are both divergent and {Xn+Yn} to 5 b) An open interval such that it contains exactly one integer and two rational numbers in the form (odd integer)/2 c)An infinite unbounded set that contains no interval. d) A one-to-one correspondence from (0,2) to (-8,-7)

Q: Let n(B) = 5 and n(AUB) = 7. (a) What are the possible values of n(A)? (b) If n(An B) = 0, what are…

A: Let A and B be two sets , then  n(A∪B)=n(A)+n(B)-n(A∩B) . Given that n(B)=5 and n(A∪B)=7 .

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Q: 19 (e) a = 1575, b = -231 (a) 3710

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Q: The numerical value of xe dr is

A: According to our guidelines we can answer only one question and rest can be reposted.

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Q: Find a one-to-one correspondence between [0, 1] and (0, 1). Find a one-to-one correspondence between…

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Q: 3. Show that all integers n ≥ 2 can be expressed as 2x + 3y for some nonnegative integers r and y.

A: Mathematical induction is a proof technique used in mathematics to establish the truth of a…

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Q: Let A = {1,3} and B = {2,4}. (a) Draw a picture of the set A × B. (b) Compute P(A × B).

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Q: Prove that if a and b are real numbers with a < b, then there are infinitely many rational numbers…

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