Two sides of a triangle have lengths of 13 and 19. Write an inequality to represent the possible lengths for the third side, x.

Answer 1

In order for a triangle to be valid, the sum of the lengths of any two sides must be greater than the length of the third side.

Let x represent the length of the third side.

Therefore, the inequality representing the possible lengths for the third side x is:

|x - 13| + |x - 19| > 13 + 19.