Ask Question
12 September, 17:43

2. 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 are multiples of 10

+4
Answers (1)
  1. 12 September, 19:56
    0
    A) the integers greater than 10

    countable infinite: 1 - > 11; 2 - > 12; 3 - > 13; 4-> 14; 5->15; ...

    b) the odd negative integers

    countable infinite: 1-> - 1; 2-> - 3; 3-> - 5; 4-> - 7; 5-> - 9; ...

    c) the integers with absolute value less than 1,000,000

    finite (-999,999; - 999,998; - 999,997; ... 0; ...; 999,997; 999,998; 999,999)

    d) the real numbers between 0 and 2

    uncountable

    e) the set A _ Z + where A = {2, 3}

    finite (it is empty)

    f) the integers that are multiples of 10

    countable infinite: 1-> 10; 2-> - 10; 3-> 20; 4-> - 20; 5-> 30; 6-> - 30; ...
Know the Answer?
Not Sure About the Answer?
Find an answer to your question ✅ “2. Determine whether each of these sets is finite, countably infinite, or uncountable. For those that are countably infinite, exhibit a ...” in 📘 Mathematics if you're in doubt about the correctness of the answers or there's no answer, then try to use the smart search and find answers to the similar questions.
Search for Other Answers