The sides of a triangle are 7, 12, and x. What are all possible values of x?
We can use the triangle inequality. The sum of two sides must be greater than the third:
7 + 12 > x
7 + x > 12
12 + x > 7
Solving, we get:
19 > x
x > 5
x > -5
We get the inequality 5 < x < 19, so there are 12 possible values of x: 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18.
Good work , CTP....I forgot to calculate the MAXIMUM ....but you didn't ! ~ EP