SOLUTION: Okay, I'm working on Inequalities - Algebraic Case. The problem is 2z-1/z+2 > 1 I have tried subtracting the 1 from both sides which make the problem look like this: 2z-1-1

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Question 742263: Okay, I'm working on Inequalities - Algebraic Case.
The problem is 2z-1/z+2 > 1

I have tried subtracting the 1 from both sides which make the problem look like this: 2z-1-1/z+2-1 > 0 which will simplify to 2z-2/z+1 > 0 if I'm correct.
Okay, next I took the factor of the top which I got: 2(z-1)
so now after I got that I'm not sure if I'm supposed to take 2,-1,and 1 an put them on a number line like it did in the workbook or if I have another step to do. If you can Please help me i would be very happy!
Thank You :)
Found 3 solutions by checkley79, lwsshak3, lynnlo:
Answer by checkley79(3341)   (Show Source):
You can put this solution on YOUR website!
2z-1/z+2 > 1
(2Z*Z-1)/Z+2>1
(2Z^2-1)/Z>1-2
(2Z^2-1)/Z>-1 CROSS MULTIPLY.
2Z^2-1>-Z
2Z^2+Z-1>0
(2Z-1)(Z+1)>0
2Z-1>0
2Z>1
Z>1/2 ANS.
Z+1>0
Z>-1 ANS.

Answer by lwsshak3(11628)   (Show Source):
You can put this solution on YOUR website!
2z-1/z+2 > 1
multiply both sids by z+2
2z-1>z+2
2z-1-z-2>0
z-3>0
z >3

Answer by lynnlo(4176)   (Show Source):
You can put this solution on YOUR website!
ANSWER:
Z>1/2
AND:
-1 NUMBER LINE
DRAW A STRAIGHT LINE,ON THE LEFT SIDE UNDER THE LINE PUT A -1.0 GOING TO THE RIGHT OF THE LINE PUT 0
EXAMPLE:
---------------------.-----------------------------------.
-1.0 0 0.5 1.5
THE 0.5 STARTS TO THE RIGHT OF THE LINE GOING TO THE