Final answer:
There are zero non-congruent scalene triangles that have integer side lengths of 6 units each because a scalene triangle must have three sides of different lengths.
Step-by-step explanation:
We have been asked to find the number of non-congruent scalene triangles with integer side lengths, where each side length is 6 units. A scalene triangle is one where all three sides have different lengths. However, if all sides are 6 units, then by definition the triangle is not scalene; instead, it would be an equilateral triangle because all sides are equal.
Since we are constrained to have all side lengths be exactly 6, and a scalene triangle requires that all side lengths be different, there are zero possibilities for a scalene triangle with all sides being 6 units. Thus, the answer to the question is:
A) 0