SOLUTION: Three less than x is greater than -4 and less than -1

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Question 830614: Three less than x is greater than -4 and less than -1
Answer by JulietG(1812) About Me  (Show Source):
You can put this solution on YOUR website!
The information you're given is represented numerically this way:
-4 < x-3 < -1
.
We can add 3 to each part of the equation in order to isolate x.
-1 < x < 2
.
Prove it by choosing a value that makes the equation true. Let's pick '1'. Put it into the original word problem
.
"Three less than '1' is greater than -4 and less than -1'
(1-3) should be greater than -4, but less than -1
1-3 = -2. It is indeed greater than -4 and less than -1.