Question

(8,9,2 )(3,5,7)(1,3,3)(5,3,2) which does not make up a triangle

Answer 1

Most likely you are expected to recognize that side lengths 2, 3, 5 will result in a "triangle" of zero area (looks like a line segment).

The appropriate choice is 
   (5, 3, 2)

_____
Some authors write the triangle inequality as a + b ≥ c for any assignment of a, b, c to side lengths. The "or equal to ..." allows the triangle to have zero area (looks like a line segment). Other authors insist the inequality not include the "or equal to" case. It looks like your text's author is in the latter camp.