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

You are not logged in.

- Topics: Active | Unanswered

**TryingMyBest50****Member**- Registered: 2013-07-12
- Posts: 13

So i would solve the linear inequality problem the same way i solve the linear equation, but replace the equal sign with < or >

Offline

**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 87,248

Hi;

There is no reason to replace the equality with either of those that I understand. It is totally arbitrary.

Is there more to the question? Have you left anything out?

**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

**TryingMyBest50****Member**- Registered: 2013-07-12
- Posts: 13

No, i just need to change my 1-variable linear equation to a linear inequality using < or >.

Offline

**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 87,248

Post #25 does that for all 4 possibilities.

**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

**TryingMyBest50****Member**- Registered: 2013-07-12
- Posts: 13

Good morning bobbym. Would i solve it like this

4x + 11 < 6x - 3

4x - 6x + 11 < - 6x - 6x - 3

2x + 11 -11 < -3 - 11

2x < - 8

-2x/-2 < -8/-2 = x < 4

and check it

4(4) + 11 < 6(4) - 3

16 + 11 < 24 - 3

27 < 27

Offline

**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 87,248

Hi;

I am not getting that. Please recheck your work.

**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

**TryingMyBest50****Member**- Registered: 2013-07-12
- Posts: 13

Ok, if you had to change 4x+11=6x-3 into a linear inequality how would you do it, and how would you solve it?

Offline

**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 87,248

Hi;

In line 2) 4x - 6x = -2x

In your line 3) -3 - 11 = -14

Here is how to do it.

4x + 11 < 6x - 3

Take 4x away from both sides.

11 < 2x - 3

Add 3 to both sides.

14 < 2x

Divide both sides by 2.

7 < x

Or

x > 7

Of course that result can be rigorously obtained, but who cares?

Combinatorics is Algebra and Algebra is Combinatorics.

Offline

**TryingMyBest50****Member**- Registered: 2013-07-12
- Posts: 13

Ok, i see that i should've have added the 3 - 11. Thank you so much!:) Have a great morning!

Offline

**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 87,248

You are welcome, post if you need more.

Of course that result can be rigorously obtained, but who cares?

Combinatorics is Algebra and Algebra is Combinatorics.

Offline