Question

the value of x must be greater than ______. 0 1 3 7

Explanation:

Step1: Apply triangle - inequality theorem

In a triangle, the difference between the lengths of any two sides is less than the length of the third side. For a triangle with side lengths \(a = 12\), \(b = 15\) and \(c=x\), we have \(|a - b|\lt c\).
So, \(|12 - 15|=| - 3| = 3\lt x\).

Answer:

C. 3