Question

find the solution set for this inequality -3x-9>6x+18=

Answer 1

Is the equal sign at the end meant to be there?

Answer 2

no sorry

Answer 3

This linear inequality is exactly like a linear equation..All you have to do is isolate your X.

EXCEPT, when you divide or multiply by a negative, your sign also switches.

Answer 4

can you work it so that i can have a sample step by step please

Answer 5

I'll make you an example similar to this one so you can solve this one after :)

Answer 6

ok great thanks

Answer 7

-2x + 6 < 3x -2

First off, you want to isolate your variable. (substract 6 from both sides)

-2x < 3x -8

Now you want to get the x's on one side only. (Substract 3x from both sides)

-5x < -8

Now you have to get the value of only one x so I will divide both side by -5 ( REMEMBER: SIGN SWITCHES WHEN DIVIDED OR MULTIPLIED BY NEGATIVE!!!!!)

x>8/5

Answer 8

oh ok can I get one more example please

Answer 9

Just try to solve it. Start by adding 9 to both sides...

Answer 10

so the answer to my first guestion would be x<13

Answer 11

How did you get x<13?

Answer 12

-3x-9> 6x+18
-3x-6x-9>6x-6x+18
3x-9> 18
3x-9+9>18+9
3x>27
3x/3 >27/3
x>9
x<9

Answer 13

Great! You understand the concept but I think I got you confused in the negatives and positives.

Example:

-x< 3
x>-3

The sign switches when you divide or multiply by a negative.

Answer 14

oh ok I understand the only time I would switch the is when I divide so my answer is correct and you give me a example problem that i would have to divide my a negative just for practice please

Answer 15

Sorry, your answer is wrong.

Answer 16

-3-6x is not 3x....it's -9x

Answer 17

That's all you messed up.

Answer 18

oh ok
x>3

Answer 19

x>-3

Almost ;)

Answer 20

Want to work on another? I'll create a question that we could both work on.

Answer 21

ok

Answer 22

x< -26/8
or
x< -3 1/4

Answer 23

I tagged you in another problem.

Answer 24

http://openstudy.com/study#/updates/50874a67e4b01db4ca174b5e