If the range T of the six numbers 4,3,14,7,10 and x is 12, what is the difference between the greatest possible value of x and least possible value of x?
Options:
A) 0 B) 2 C) 12 D) 13 E) 15
The range T of a set is the difference between the largest and smallest elements of a set.   Without x, the difference between the largest and smallest elements of a set is  14-3= 
<gadget id="calculator"> 14-3</gadget>
<output>11</output>
11&lt;12, which means that in order 12 to be the range of the set x must be either the smallest element so that 14-x=12 ---&gt; x=2 OR x must the largest element so that x-3=12 --&gt; x=15.   The the difference between the greatest possible value of x and least possible value of x is 15-2= 
<gadget id="calculator">15-2</gadget>
<output>13</output>
13.   Answer: 13.
<result>D</result>
If the range T of the six numbers 4,3,14,7,10 and x is 12, what is the difference between the greatest possible value of x and least possible value of x?