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Solved: Determine whether each of these sets is finite,
Chapter 2, Problem 2E(choose chapter or problem)
Problem 2E
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.
a) the integers greater than 10
b) the odd negative integers
c) the integers with absolute value less than 1.000.000
d) the real numbers between 0 and 2
e) the set A × Z+ where A = {2. 3}
f) the integers that arc multiples of 10
Questions & Answers
QUESTION:
Problem 2E
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.
a) the integers greater than 10
b) the odd negative integers
c) the integers with absolute value less than 1.000.000
d) the real numbers between 0 and 2
e) the set A × Z+ where A = {2. 3}
f) the integers that arc multiples of 10
ANSWER:
SOLUTION
Step 1
We have to determine ,each of the following sets is finite , countably infinite or uncountable .