for any natural number n let Bn = {x|x ε N and x ≤ n}. Describe each of the following sets in the form {x | property} a) Bm - Bn, where m > n b) Bm U Bn, where m ≤ n c) Bm ∩ Bn, where m ≤ n
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having trouble getting started, terminology is screwing me up a bit
Originally Posted by bretf26 for any natural number n let Bn = {x|x ε N and x ≤ n}. Describe each of the following sets in the form {x | property} a) Bm - Bn, where m > n b) Bm U Bn, where m ≤ n c) Bm ∩ Bn, where m ≤ n Maybe this will help you visualize it. {1,2,3...n,(n+1),(n+2),... m} and {1,2,3...n} when n < m so {(n+1),...m} {x| n m}
I didn't mention the fact that x is an integer. (that is important) sorry
for Bm U Bn, where m ≤ n I think I understand it more, but the (n+1) confuses me a bit. Is this attempt correct at all? Bn = {1, 2, 3...n} Bm = {1, 2, 3...n, (n-1), (n-2)...m} so Bm U Bn = {1....n} {x | m ≤ x ≤ n}
Originally Posted by bretf26 for Bm U Bn, where m ≤ n I think I understand it more, but the (n+1) confuses me a bit. Is this attempt correct at all? Bn = {1, 2, 3...n} Bm = {1, 2, 3...n, (n-1), (n-2)...m} so Bm U Bn = {1....n} {x | m ≤ x ≤ n} not quite.. {1,2,3...m,(m+1),(m+2),...n} because m n {1,2,3,...m} This time we were asked to find the union of two sets. The union is all of the stuff in and all of the stuff in U {x|1 n and }
thanks for the help, I understand it now!
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