Complex Multi-Step Inequality Problem

[SeaFire]

Not asking for anyone to do my homework for me, but I need some tutorial or something on how to do problems like this: 4(1-3n)-14>4(2n+3)-9n.

Even the most simple problems that are similar to that I can't solve.

Can someone help?

[Pokemon Trainer Sarah]

You solve it the same way you'd solve a regular equation with a = sign.

The main difference is if you divide or multiply by a negative number, you need to switch the inequality sign around.

This site might help. It goes through each step of the process if you're having trouble. http://webmath.com/solverineq.html

Here's how I would do it. I haven't done this stuff in 5 years so hopefully it's right. XD

4(1-3n)-14>4(2n+3)-9n

Step 1. Expand the brackets
4-12n-14>8n+12-9n

Step 2. Simplify
-10-12n>-n+12

Step 3. We need all the n's on one side, so +n to each side.
-10-12n+n>12

Step 4. We need the regular numbers on the opposite side so +10 to each side.
-12n+n>12+10

Step 5. Simplify
-11n>22

Step 6. Divide both sides by -11 to get n by itself. (Since dividing by a negative number, switch the inequality sign to point the opposite way.)
n<22/-11

Step 7. Simplify
n<-2

[SeaFire]

Thank you! I don't have to sit in class without a clue on how to do this!

[HKim]

Nice job Sarah!

I remember when we used to have people post parts of their homework on the forums so people could help them. Good to see we still got it.

[haybalebarn]

Hmm, sounds like fun, that should totally be brought back! Too bad I rarely need homework help. :/

[Frost Dragon]

BARF! I took algebra two years before the average person should... It was the single worst year of my life. Undeniably.