Question: Discrete Math Problem Here is the problem 1.Determine whether each of these sets is finite, countably infinite, or uncountable. For those that are countably infinite,
Discrete Math Problem Here is the problem
1.Determine whether each of these sets is finite, countably infinite, or uncountable. For those that are countably infinite, exhibit a one-to-one correspondence between the set of positive integers and that set. For those that are not, explain your answer.
(a) The set of odd integers greater than or equal to 5.
(b) The set of all bit strings with 1 in the first two positions and 0 in all the other positions.
(c) The sets of all rational numbers between .5 and 1.
(d) The set of all real numbers between .5 and 1.
2. Isthefunctionf(n)=-nfromZ-toZ+(WhereZ-isthesetofnegativeintegersand Z+isthesetofpositiveintegers)
(a)one-to-one?(b)onto?(c)abijection?
ThankYou
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