Question

Part 1: Show the work to solve |2x+1| -3 > 6.

Part 2: Describe the graph of the solution in a complete sentence.

Answer 1

hmm not to good at showing work i do most of it in my head sorry can't help man

Answer 2

If it helps x>4 or x<-5

Answer 3

thanks anyways :)

Answer 4

solve it to get the answer

Answer 5

|2x+1| -3 > 6

Add 3 to both sides

|2x+1| > 9

This is TWO inequalities! THIS IS WHERE THE MAGIC HAPPENS!!

IF YOU DON'T UNDERSTAND WHY THERE ARE TWO EQUATIONS, THESE WILL NEVER MAKE SENSE. :(
2x + 1 > 9 or 2x + 1 < -9

Solving the first:

2x + 1 > 9
Subtract 1 from both sides
2x > 8
divide by 2
x > 4
That's the first solution. :)

Now let's solve...
2x + 1 < -9
subtract 1 from both sides
2x < -10
divide by 2
x < -5
That's the second solution.

The full solution is... x > 4 , x < -5

Answer 6

That how we do it ^

Answer 7

@mathteacher superb I really appreciate

Answer 8

Thank you. :D

I made a video about solving linear inequalities which (I hope) clarifies that "magic moment" where we go from one inequality to two inequalities.

Lemmie know what you think, and if you have any requests for other vids. :)
http://www.youtube.com/watch?v=IYur2uvz5J0

Answer 9

thank you guys sooo much!!! :)

Answer 10

@mathteacher the video is very nice as well all of watch it