SOLUTION: Two sides of a triangle have lengths 2 and 5. Find all possible integral values that could represent the length of the third side.

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Question 392278: Two sides of a triangle have lengths 2 and 5. Find all possible integral values that could represent the length of the third side.
Found 2 solutions by ewatrrr, MathLover1:
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!

Hi
the length of 3rd side must be less than the sum of the lengths of the other two sides
2 + 5 = 7
integral values that could represent the length of the third side would be:
integral values < 7

Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

the 3rd side can%27t be any more than+to+sum+of the two sides.
And it can%27t+be any+smaller+than the difference of the two sides.
That's because the two shorter sides always have to add up to more than the longest side.
ab+%3C+2+%2B+5
ab+%3E+2+-+5
Let's compute each of those:
15%2F4+%2B+1%2F2
=7
2-+5
= -3

Answer:
-3+%3C+ab+%3C+7