x and y are integers. x + y < 11 and x > 6. What is the smallest possible value of x - y ?	Choose the most appropriate option.
A) 1
B) 2
C) 4
D) -2
E) -4
Focus on the transition points and plug in the values.   x &gt; 6 so x could be 7, 8, 9, 10, 11 etc   Look at x = 7   7 + y &lt; 11   y &lt; 4   y could be 3, 2, 1, 0, -1 etc   When y is 3, we get x - y = 4   This must be the smallest value because as x increases, y reduces so x - y increases.   Take another example. x = 11 so y &lt; 0.   x - y will give a value greater than 11.   Answer (4).
<result>C</result>
x and y are integers. x + y < 11 and x > 6. What is the smallest possible value of x - y ?