No, the given statement does not accurately represent the conditions that must be met in order for three side lengths a, b, and c to create a triangle.
The correct conditions for the side lengths of a triangle are as follows:
1. The sum of any two side lengths must be greater than the third side length. (a + b > c, a + c > b, b + c > a)
2. Each side length must be greater than zero. (a > 0, b > 0, c > 0)
Therefore, the correct statement would be:
a + b > c and a + c > b and b + c > a and a > 0 and b > 0 and c > 0.
Does the following statement show the conditions that must be met in order for three side lengths a, b, and c to create a triangle.
a < b + c and a>b-c
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