HW 4 Section 2.5
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About questions in this homework
All questions here are based Section 2.5 material that we covered during our meeting. So it doesn't include uncountable sets!
Consider two sets: A = {1,2,3,4,5} and B = {a,b,c,d,e,f}. Are these two sets, A and B, equivalent?
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1 point
no, they are not
we cannot establish that from the given information
yes, they are
I was told that sets M and N are equivalent. Does it mean that they have the same cardinality. What other statements about the sets M and N are true? (select all that apply!)
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2 points
Both sets are infinite sets
There is no onetoone correspondence between these sets
M and N have different cardinal numbers
M and N have the same cardinalities, i.e. n(M) = n(N)
There is a onetoone correspondence between these sets
Required
Recall that we established that set N, the set of all natural numbers, and the set E, the set of all even positive integers are countable. Select all the sets below that are countable?
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4 points
O = {1, 3, 5, 7, ...} the set of all positive odd numbers
T = { a, b, c, d, e, ..., x, y, z}
The set of all trees at New York Botanical Garden
The set of all students at Bronx Community College
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