in the diagram below, X is a whole number. What is the smallest possible value for X

Answer:
Option D is correct: 9 units.
Step-by-step explanation:
According to the triangle inequality theorem, we know that the sum of the lengths of any two sides of a given triangle, is greater than the length of the third side.
Therefore, we can say
[tex]x+x>17[/tex]
[tex]2x>17[/tex]
[tex]x>8.5[/tex]
Now, the nearest whole number greater than 8.5 is 9 units.
Hence, option D is the correct answer.