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