If k is an integer and 2 < k < 8, for how many different values of k is there a triangle with sides of lengths 3, 6, and k? Select:
A) 0 B) 1 C) 2 D) 3 E) 4
(6-3) &lt; k &lt; (6+3)   3 &lt; k &lt; 9   Thus k = 4, 5, 6, 7, 8   Since 2 &lt; k &lt; 8, then k can be 4, 5, 6, or 7.   The answer is 4.
<result>E</result>
If k is an integer and 2 < k < 8, for how many different values of k is there a triangle with sides of lengths 3, 6, and k?