Question

How do you graph the solution set of |-9x+2|-11>0?

Answer 1

Before graphing the solution set, you must solve the inequality for x using algebra. Do you know how to do that?

Answer 2

I dont know if its right but I got -13/9 and -1

Answer 3

Would you mind showing your steps?

Answer 4

sure for the one side i did -9x+2>11 subtract 2 to get -9x>9 then divide by -9 to get x<-1

Answer 5

for the other side i did -9x+2<-11 subtract 2 to get -9x<-13 divide by -9 to get x>-13/9

Answer 6

There are a couple particular rules you can use to help you:

|a - b| = |b - a|

So for the first step, I would rewrite:
|-9x+2|-11>0

as

|9x - 2| - 11 > 0
|9x - 2| > 11

Then split into two equations:
9x - 2 < -11
9x - 2 > 11

Then finish from there.

Answer 7

So the solution set is then -1, 13/9 instead of a -13/9?

Answer 8

You would have to graph the solution set. It's more than just a matter of posting numbers. You have to figure out where x is on the number line and graph that.

Answer 9

I guess what I am struggling with is graphing that on a real numbers line. I am thinking that I would shade in between the -1 and 13/9 but I am not positive. Sorry if that doesnt make sense.

Answer 10

If you solve the inequality algebraically, it will tell you which way to shade the graph. I notice that when you post your answers you avoid posting things like the variables and the inequality signs. Why?

Answer 11

If you're having trouble with that, I can help you.

Answer 12

No reasons why...just trying to answer fast :) When I solve for the equations you posted above I got x<-1 and x>13/9. So I put my "(" on my number line at -1 and then I have a "(" at 13/9 but am struggling with which way I need to draw/shade my lines.

Answer 13

Well, the < symbol means LESS THAN and the > symbol means GREATER THAN