The sides of a triangle are 7, 12, and x. What are all possible values of x?
Using the triangle inequality, x must be bigger than 7 + 12, so x > 19
7+12>x
x+12>7
x+7>12
=>...
x>5
x<19
(5,19)
Assuming that x is an integer, values of x are 6 through 18
