You are Here: Home

# Simple inequality problem Tweet

Maths and statistics discussion, revision, exam and homework help.

Announcements Posted on
Ask me ANYTHING - Andrew O'Neill - Buzzcocks comedian, amateur occultist, vegan... 22-05-2013
IMPORTANT: You must wait until midnight (morning exams)/4.30AM (afternoon exams) to discuss Edexcel exams and until 1pm/6pm the following day for STEP and IB exams. Please read before posting, including for rules for practical and oral exams. 28-04-2013
1. Simple inequality problem
This is a simple problem but I can't quite get my head around it. I'm given the inequality n2-101n+2000<0 and I have to find the largest possible value of n. The answer is 73 but I don't know how to get it.

When I picture a quadratic the x-variable (in this case, n) goes on forever in both the positive and negative directions, so the concept of a maximum value for it is confusing me. If it were to ask for the maximum value of the function, I'd have more of an idea of what to do.
2. Re: Simple inequality problem
Just whack it into the quadratic formula.
3. Re: Simple inequality problem
Are you sure the question doesn't ask to find the largest integer value of n?
4. Re: Simple inequality problem
(Original post by Julii92)
This is a simple problem but I can't quite get my head around it. I'm given the inequality n2-101n+2000<0 and I have to find the largest possible value of n. The answer is 73 but I don't know how to get it.

When I picture a quadratic the x-variable (in this case, n) goes on forever in both the positive and negative directions, so the concept of a maximum value for it is confusing me. If it were to ask for the maximum value of the function, I'd have more of an idea of what to do.
I can't see any pretty way of doing this. Solve , then take where is the largest positive solution.
Last edited by Lord of the Flies; 11-06-2012 at 12:48.
5. Re: Simple inequality problem
Got it - thanks.