Triangle

For how many integer values of x can 16, 15 and x be the lengths of the sides of triangle?

Correct result:

n =  28

Solution:

0<x x<16+15 15<x+16 16<x+15  1<x<31 2x30 n=280 < x \ \\ x< 16+15 \ \\ 15<x+16 \ \\ 16<x+15 \ \\ \ \\ 1 < x < 31 \ \\ 2 \le x \le 30 \ \\ n = 28



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