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

Login

Username

Password

Not registered yet?

#1 2012-11-16 08:40:55

BarandaMan
Guest

Small question on inequalities!

Hey!
Hope you all are doing good.

I have

(6/5) > (2/5) - (2/5)z

I get this down to z > 2.

The answer says it should be, z < 2.

Please help me? Thank you!!!!

#2 2012-11-16 08:50:59

bobbym
Administrator

Online

Re: Small question on inequalities!

Hi BarandaMan;

I am getting z > -2.


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 2012-11-16 08:54:09

BarandaMan
Guest

Re: Small question on inequalities!

Really?!

Can you please show me your working?

#4 2012-11-16 08:56:54

bob bundy
Moderator

Offline

Re: Small question on inequalities!

hi BarandaMan



x by 5



Add 2z



take 6



divide by 2



I suspect you ran into difficulty because of this



take 2



divide by -2

when you multiply or divide by a negative amount you must reverse the inequality sign



Bob

If you want to explore this rule some more, post back.

hi bobbym, sorry didn't know you were posting too.


Uploaded Images
View Image: BarandaMan.gif      


You cannot teach a man anything;  you can only help him find it within himself..........Galileo Galilei

#5 2012-11-16 09:06:04

BarandaMan
Guest

Re: Small question on inequalities!

Thank you very very much indeed. The change of the inequality sign is what got me. Thank you for helping me.

This makes sense. With this rule though, I just must remember it, right? Does it exist for a reason? Or is it just one we must remember?

Thanks!!!!

#6 2012-11-16 09:09:06

bob bundy
Moderator

Offline

Re: Small question on inequalities!

Definitely a reason.  Maths is like that !!!!!

Explanation coming up

Bob


You cannot teach a man anything;  you can only help him find it within himself..........Galileo Galilei

#7 2012-11-16 09:15:14

bob bundy
Moderator

Offline

Re: Small question on inequalities!

OK.

Take a look at the diagram

On the right I am trying to show that 3 < 9

When you multiply or divide by -1 it becomes   -9 < -3

Make up your own example.  When you multiply or divide by a negative it has the effect of reflecting in the 'y axis' so the inequality flips around.

Hope that makes sense.

Bob


Uploaded Images
View Image: BarandaMan2.gif      


You cannot teach a man anything;  you can only help him find it within himself..........Galileo Galilei

#8 2012-11-16 10:20:12

BarandaMan
Guest

Re: Small question on inequalities!

Wow, this is incredible. Thank you really. I don't know why people don't get taught stuff like this sometimes, or maybe I forgot, but never the underlying reasons for the rules it seems. This actually makes sense. Thank you. I don't think I will forget it again. I drew it out with three examples!! big_smile

Board footer

Powered by FluxBB