If \(k\) is an integer and \(2 < k < 7,\) for how many different values of \(k\) is there a triangle with sides of lengt

[Vincen]

If \(k\) is an integer and \(2 < k < 7,\) for how many different values of \(k\) is there a triangle with sides of lengths \(2, 7,\) and \(k?\)

(A) one
(B) two
(C) three
(D) four
(E) five

Answer: A

Source: Official Guide