Based on the triangle inequality theorem, the inequality that gives the range of possible values for x is: 4 < x < 20.
What is the Triangle Inequality Theorem?
The triangle inequality theorem states that the sum of any two sides of a triangle must be greater than the length of the third side.
Therefore, the range of values that is possible for x would be:
12 - 8 < x < 12 + 8
4 < x < 20
The inequality is: 4 < x < 20
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