If x < y < z and y - x > 5, where x is an even integer and y and z are odd integers, what is the least possible value F of z - x?  Select the correct option
A) 6
B) 7
C) 8
D) 9
E) 10
x<y<z and="" be="" can="" closest="" could="" each="" even="" find="" for="" if="" is="" least="" minimum="" need="" number="" number,="" odd="" other.="" possible="" some="" that="" the="" then="" to="" value="" values="" we="" what="" x="" y-x="" z="" z-x;="" z.="">5; y&gt;x+5; minimum value for y</y<z>=x+5+2=x+7[Note: x+5 is as even+odd=odd and nearest odd greater than x+5 is x+5+2]   Minimum value for z=y+2=x+7+2=x+9 [Note: z=y+2 because both z and y are odd. 9ifference between two odd numbers is 2]   F=z-x = x+9-x= 9   Ans:9
<result>D</result>
If x < y < z and y - x > 5, where x is an even integer and y and z are odd integers, what is the least possible value F of z - x?