Logo
Home Study Material Contact Search
AI Chat FREE
  1. mathematics
  2. advance math
  3. prove that there exist infinitely many positive re

Prove that there exist infinitely many positive real numbers r such that the equation 2x + 3y...

80.2K

Verified Solution

Question

Advance Math

  1. Prove that there exist infinitely many positive real numbersr such that the equation 2x +3y + 5z = r has nosolution (x,y,z) ? Q × Q × Q.

(Hint: Is the set S= {2x + 3y +5z : (x,y,z) ? Q × Q × Q}countable?)

Answer & Explanation Solved by verified expert
4.4 Ratings (929 Votes)
    See Answer
Get Answers to Unlimited Questions

Join us to gain access to millions of questions and expert answers. Enjoy exclusive benefits tailored just for you!

Membership Benefits:
  • Unlimited Question Access with detailed Answers
  • Zin AI - 3 Million Words
  • 10 Dall-E 3 Images
  • 20 Plot Generations
  • Conversation with Dialogue Memory
  • No Ads, Ever!
  • Access to Our Best AI Platform: Flex AI - Your personal assistant for all your inquiries!
Become a Member

Other questions asked by students

Biology
1.2K views

Please answer in detail.(2 pages) At the core of a fluorescence microscope is the dichroic mirror. What...

Accounting
1.2K views

A corporation issues a $750,000, 13%, 15-year mortgage note. The terms provide for annual installment payments...

Physics
1.2K views

On a horizontal smooth surface a disc is placed at rest Another disc of same...

Basic Math
1.2K views

1 190 290 390 490 590 a 5 3 77 105 133 161 189 a...

Calculus
1.2K views

State the domain and range for y = sin x, y = cos x, y...

Accounting
1.2K views

1. Assume the following balance sheet for a commercial bank: Assets Liabilities Reserves 100 Demand...

Accounting
1.2K views

can someone please help me with C ...

Accounting
1.2K views

Gross Profit During the current year, merchandise is sold for $103,100 cash and $510,100 on...

Accounting
1.2K views

3. Clearly list out the reason(s) why you picked the setting (work or personal) that...

Finance
1.2K views

Table -1- Cashflow Estimation Year 0 Year 1 Year 2 Year 3 Year 4 Year...

Finance
1.2K views

Ali qualified for a $250,000 mortgage for his new home. The mortgage payment 1174 per...

Accounting
1.2K views

As the CFO of the organization, you are currently working at, you have been charged...