Math Is Fun Forum
  Discussion about math, puzzles, games and fun.   Useful symbols: √ ∞ ≠ ≤ ≥ ≈ ⇒ ∈ Δ θ ∴ ∑ ∫ π -

Login

Username

Password

Not registered yet?

#1 2012-11-12 03:00:47

BarandaMan
Guest

Inequality Help! Urgent!

9pq < 6pq +6(1-p)(1-q). Implying that 3pq/(1-p)(1-q)  < (less than or equal to) 2


PLEASE explain this somebody! I don't understand how this works? Does it not equal 3<6(1-p)(1-q)?

Please walk me through this. Thanks.

#2 2012-11-12 03:17:08

bobbym
Administrator

Offline

Re: Inequality Help! Urgent!

Hi BarandaMan;

Do you mean


In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

#3 2012-11-12 03:21:40

BarandaMan
Guest

Re: Inequality Help! Urgent!

Yes I do! That is what the answer says but i do not understand how it gets past the 'implies' after rearranging

#4 2012-11-12 03:36:11

bobbym
Administrator

Offline

Re: Inequality Help! Urgent!

Hi;



Subtract 6pq from both sides.



Divide both sides by 3.



Divide both sides by (1-p)(1-q) provided that p,q are both less than 1.



I do not know where the 3 comes from in your question.


In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

#5 2012-11-12 04:09:09

BarandaMan
Guest

Re: Inequality Help! Urgent!

Hey!

That is exactly what I got! Thank you. That is why I am confused, because the 3pq I posted it in the ANSWER BOOK. Which is why I am confused by this!

It cannot be the answer from the inequality!

#6 2012-11-12 04:14:04

bobbym
Administrator

Offline

Re: Inequality Help! Urgent!

Hi;

The answer book? What is that?


In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

#7 2012-11-12 04:20:14

BarandaMan
Guest

Re: Inequality Help! Urgent!

I did the question from a book, and in the back ith as the answers. The first line of my original post shows what the answer is in the textbook. It must be wrong, I will write a letter. It is simple inequality I thought... must be printing error.

#8 2012-11-12 04:39:48

bobbym
Administrator

Offline

Re: Inequality Help! Urgent!

I would think it is a typo.


In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

Board footer

Powered by FluxBB