A triangle has two sides of length 5 and 19. What is the smallest possible whole-number length for the third side?

13

Step-by-step explanation:

Given 2 sides of a triangle then the third side x is

difference of 2 sides < x < sum of 2 sides , that is

19 - 5 < x < 19 + 5

14 < x < 24

Thus the smallest whole number length of the third side is 13

check above link.

graphically?   well, you graph them both, the solutions is where they both intersect each other, since there are two solutions, meaning they will meet twice, or namely the linear will run into the quadratic curve twice, and where they meet, those x,y coordinates are the solutions to the system.