Let us look at a few values for x
could x be 1?
That would mean that p = 4 + 9 + 1 = 14 which would satisfy to top 3 inequalities.
p would be > than 13. But would there be a triangle
The answer is no. 4 + 1 has to be greater than 9 and it isn't. That means that 13 is not the threshold for the perimeter. So 18 must be. that means that x is at least 5
How are you going to tell the difference between 22 and 26?
What will x be if the perimeter is 26?
4 + 9 + x = 26
13 + x = 26
x = 13 Will that work? This is the absolute limit of the perimeter.
if x = 12 then a triangle will be formed. So everything is fine.
the answer is e. <<<< answer.
The perimeter can be made just slightly less than 26 and you will have a triangle. If you have exactly 26 you will have 2 lines, one 13 units long and the other one 5 + 9 or 13 units long.