Question

Use Axiom of Completeness to show that the set of positive integers that contain digit 7...

Use Axiom of Completeness to show that the set of positive integers that contain digit 7 in their decimal expansion (for example, 47, 1976 or 172760) is unbounded.

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Using the completeness axiom, show that every nonempty set E of real numbers that is bounded...
Using the completeness axiom, show that every nonempty set E of real numbers that is bounded below has a greatest lower bound (i.e., inf E exists and is a real number).
Show that the set of all functions from the positive integers to the set {1, 2,...
Show that the set of all functions from the positive integers to the set {1, 2, 3} is uncountable.
Counting theory: Find how many 4-digit positive integers are there with no repeating digits (e.g.: 5823)...
Counting theory: Find how many 4-digit positive integers are there with no repeating digits (e.g.: 5823) or where digit repetition is allowed but all digits must be odd (e.g.: 5531 satisfies this condition but 7726 and 6695 do not since they contain even digits).
a) Show that the set Q+ of positive rationals and set Q− of negative rationals are...
a) Show that the set Q+ of positive rationals and set Q− of negative rationals are equivalent. b Show that the set of even integers and set of odd integers are equivalent. Please answer questions in clear hand-writing and show me the full process, thank you. (Sometimes I get the answer which was difficult to read)
1. A) Show that the set of all m by n matrices of integers is countable...
1. A) Show that the set of all m by n matrices of integers is countable where m,n ≥ 1 are some fixed positive integers.
Use the method of direct proof to show that for any positive 5-digit integer n, if...
Use the method of direct proof to show that for any positive 5-digit integer n, if n is divisible by 9, then some of its digits is divisible by 9 too.
Ask user to input any 5-digit positive integer value. Calculate the sum of digits of that...
Ask user to input any 5-digit positive integer value. Calculate the sum of digits of that number. Assume that the number is positive, integer, 5-digit. Example: 29107 should calculate 2+9+1+0+7 and get 19 Hint: Use the % operator to extract a digit from a number. Use loop(s) Must be in Java
discrete math (3) with full proof Use the Well Ordering principle to show that a set...
discrete math (3) with full proof Use the Well Ordering principle to show that a set S of positive integers includes 1 and which includes n+ 1, whenever it includes n, includes every positive integer.
Use mathematical induction to show that ?! ≥ 3? + 5? for all integers ? ≥...
Use mathematical induction to show that ?! ≥ 3? + 5? for all integers ? ≥ 7.
Question 7. If A is positive definite, show that each diagonal entry is positive. Question 8....
Question 7. If A is positive definite, show that each diagonal entry is positive. Question 8. Show that the converse of question 7 is false. That is, give an example of a square matrix A such that, all the diagonal entries are positive but A is not positive definite.(asking for Q8)