SOLUTION: How do I solve this? Two sides of a triangle measure 3 inches and 7 inches. Between which two values must the third side be?

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Question 961488: How do I solve this?
Two sides of a triangle measure 3 inches and 7 inches. Between which two values must the third side be?
Answer by Edwin McCravy(20062) About Me  (Show Source):
You can put this solution on YOUR website!
How do I solve this?
Two sides of a triangle measure 3 inches and 7 inches. Between which two values must the third side be?
The sum of any two sides of a triangle is strictly greater than the third side.

x + 3 > 7, 3 + 7 > x, x + 7 > 3

The third one is obviously true, so we need only look at the first two

x + 3 > 7, 3 + 7 > x 
    x > 4     10 > x

So 4 < x < 10

So the third side must be between 4 and 10 inches, exclusive of both.

Edwin