а. Explain why each of the following statements are true. 17 R 19 17 R 29

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a. Explain why each of the following statements are true.
17 R 19
17 R 29
Transcribed Image Text:a. Explain why each of the following statements are true. 17 R 19 17 R 29
Define the following infinite collection of subsets of the positive integers:
A1 = {x|x € Z+ and 0 <x < 10}, A2 = {x|x € Z* and 10 < x < 20}, A3 = {x|x € Z* and 20 < x < 30}, ...
Let R be the "in the same subset" relation. a R b if and only if 3k such that a E Ar and b E Ar.
Transcribed Image Text:Define the following infinite collection of subsets of the positive integers: A1 = {x|x € Z+ and 0 <x < 10}, A2 = {x|x € Z* and 10 < x < 20}, A3 = {x|x € Z* and 20 < x < 30}, ... Let R be the "in the same subset" relation. a R b if and only if 3k such that a E Ar and b E Ar.
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