SOLUTION: If x is an integer and 2 < x < 7, how many different triangle are there with sides of lengths 2,7 and x? This is a multiple choice question with the following answers One, Two,

Question 937012: If x is an integer and 2 < x < 7, how many different triangle are there with sides of lengths 2,7 and x?
This is a multiple choice question with the following answers
One, Two, Three, Four and Five.
The answer given was One.
But the way i understood is x could be of any value of the following 3, 4, 5 and 6. So I selected FOUR. Can you please help me on how the answer is One?
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!

given:

Now, a triangle be such that the of sides be than the side.
So, immediately, we are down to , , , under given conditions.
If then --- not a triangle!
if then -- not a triangle
if then -- not a triangle
if x = 6 then --
so, value of works; so, answer is

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