Determine the set of natural numbers n if 2/5=<(n+1)/10=<1/2

Expert Answers

An illustration of the letter 'A' in a speech bubbles

We have to determine the set of natural numbers in which n lies given that : 2/5=<(n+1)/10=<1/2

2/5=<(n+1)/10=<1/2

multiply all the terms by 10

=> 4 =< (n +1) =< 5

subtract 1 from all the terms

=> 4 - 1 =< n + 1 - 1 =< 5 - 1

=> 3 =< n =< 4

Therefore n lies in the set [ 3 , 4]

 

Approved by eNotes Editorial Team

We’ll help your grades soar

Start your 48-hour free trial and unlock all the summaries, Q&A, and analyses you need to get better grades now.

  • 30,000+ book summaries
  • 20% study tools discount
  • Ad-free content
  • PDF downloads
  • 300,000+ answers
  • 5-star customer support
Start your 48-Hour Free Trial