Two side of a triangle have lengths 13 and 19. Write an inequality to represent the possible lengths for
the third side, x.
To find the possible lengths for the third side x, we can use the triangle inequality theorem, which states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.
In this case, we have two sides with lengths 13 and 19. Therefore, we can write the inequality as:
13 + 19 > x
This inequality can also be simplified to:
32 > x
So, the possible lengths for the third side x are any values less than 32. Thus, the inequality to represent the possible lengths for the third side x is:
x < 32