Help! Math questions from Blue Book

<p>"If x is an integer and 2<x<7, how many different triangles are there with sides of lengths 2, 7, and x?"</p>

<p>a) one
b) two
c) three
d) four
e) five</p>

<p>One, right? Because the two smallest sides have to add to be bigger than the largest side so 6+2>7 and that's the only one.</p>

<p>yea it should be one</p>

<p>blech, I thought it would be 0 -- it asks how many DIFFERENT triangles can be made, well, only ONE can be made, and as there is only one there is no other DIFFERENT triangle. So there would be 0 different triangles made</p>

<p>-_-</p>

<p>x is just a representation of a variable integer, it is not literally an integer. therefore it wouldnt form a triangle. They mean different by not like 6 2 7, 7 2 6, and stuff like that. They have to say different, otherwise literalists will get confused and stuff, actually most people would</p>

<p>^if it were a fragment of an essay, the whole thing would probably confuse gradists and staff. it did me. :)</p>