SOLUTION: It has been a long time since I've been in school and I don't remember the rules for double inequalities within an equation. I'm trying to help my nephew with this problem (he is

Question 88127: It has been a long time since I've been in school and I don't remember the rules for double inequalities within an equation. I'm trying to help my nephew with this problem (he is in Colorado and I'm in California and since it is late I don't have his textbook information).
-3 <= x <= -1
I think you would add 3 to each side (but I'm not sure if you add it in the middle as well): 3-3 <= x <= -1 + 3: 0<=x<=2 which would be x >= 0 and x <=2, but I'm just not sure if this is correct. Please help!
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
-3 <= x <= -1
This double statement cannot be further simplified because it
makes a final statement regarding the variable "x".
------------
But to answer your qustion:
If you had the following satement,
-5<=x-3<7, you could add 3 along the line to get
the following :
-5+3<=x-3+3<7+3
Then you could simplify this statement as:
-2 <= x < 10
===============
Cheers,
Stan H.
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