Discussion about math, puzzles, games and fun. Useful symbols: ÷ × ½ √ ∞ ≠ ≤ ≥ ≈ ⇒ ± ∈ Δ θ ∴ ∑ ∫ π -¹ ² ³ °

You are not logged in.

- Topics: Active | Unanswered

Pages: **1**

**BarandaMan****Guest**

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!!!!

**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 86,302

Hi BarandaMan;

I am getting z > -2.

**In mathematics, you don't understand things. You just get used to them.Of course that result can be rigorously obtained, but who cares?Combinatorics is Algebra and Algebra is Combinatorics.**

Offline

**BarandaMan****Guest**

Really?!

Can you please show me your working?

**bob bundy****Moderator**- Registered: 2010-06-20
- Posts: 6,378

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.

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

Offline

**BarandaMan****Guest**

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!!!!

**bob bundy****Moderator**- Registered: 2010-06-20
- Posts: 6,378

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

Offline

**bob bundy****Moderator**- Registered: 2010-06-20
- Posts: 6,378

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

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

Offline

**BarandaMan****Guest**

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!!

Pages: **1**