In the diagram below, x is a whole number. what is the smallest possible value for x?
6
7
8
9

Answer:
The smallest possible value for x is [tex]9\ units[/tex]
Step-by-step explanation:
we know that
The Triangle Inequality Theorem. states that the sum of the lengths of any two sides of a triangle is greater than the length of the third side
so
[tex]x+x>17\\2x>17\\x>8.5\ units[/tex]
The value of x must be greater than [tex]8.5\ units[/tex]
so
If x must be a whole number
therefore
The smallest possible value for x is [tex]9\ units[/tex]