If x is a prime number, and x-1 is the median of the set {x-1, 3x+3, 2x-4}, then what is the average (arithmetic mean) of the set?  Pick one:
A) 2
B) 5/3
C) 3
D) 10/3
E) 14/3
If x is a prime number, and x-1 is the median of the set {x-1, 3x+3, 2x-4}, then what is the average (arithmetic mean) of the set?   A. 2   B. 5/3   C. 3   D. 10/3   E. 14/3   Solution:   x-1 is the median of the set, implies if we arrange the set in ascending order, the set would be [2x-4, x-1, 3x+3]. This means that:   2x-4<x-2<3x+3 gives="" inequality="" solving="" x="">-2 and x&lt;3. Since x is prime number and the only prime number &lt;3 is 2, so put x</x-2<3x+3>=2.   Hence set becomes: [ 0, 1, 9] and avg = 10/3.10/3
<result>D</result>
If x is a prime number, and x-1 is the median of the set {x-1, 3x+3, 2x-4}, then what is the average (arithmetic mean) of the set?