SOLUTION: If points A, B, and C lie on a coordinate line and points A and B have coordinates 15 and 7 respectively, then which of the possible coordinates for point C satisfy(ies) d(A,C)< d(

Question 82588: If points A, B, and C lie on a coordinate line and points A and B have coordinates 15 and 7 respectively, then which of the possible coordinates for point C satisfy(ies) d(A,C)< d(B,C)?
The answers are: a) 12
b) 17
c) both (a) and (b)
d) neither (a) nor (b)
This is my solution, but I don't know if it's correct.
(17-15)=2 (12-15)= -3
(7-17)=-10 (7-12)= -5
My answer was neither (a) nor (b). Could you please confirm? Thank you.

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Draw the picture and remember d(a,b) is never negative.
d(a,b) is a quantity
d = sqrt(a-b)^2
or
d= |a-b|
----------------
Answer is "a".
Cheers,
Stan H.
RELATED QUESTIONS
If points A,B and C lie on a coordinate line and points A and B have coordinates of 15... (answered by Edwin McCravy)

If points A,B, and C lie on a coordinate line and points A and B have coordinates 15 and... (answered by kamallohia)

If points A, B, and C lie on a coordinate line and points A and B have coordinates 15 and (answered by scott8148)

IF POINTS A,B,AND C LIE ON A CORDINATE LINE AND POINTS A AND B HAVE COORDINATES 15 AND 7... (answered by stanbon)

If points A, B, and C lie on a coordinate line and points A and B have coordinates 15... (answered by scott8148)

Find the distance between the points A(4, -3) and B(-4, 3). I came up with:... (answered by scott8148)

How do I prove/disprove this? If points A, B, and C lie on a coordinate line and... (answered by stanbon,Edwin McCravy)

Please help me understand this If points A,B, and C lie on a coordinate line and... (answered by stanbon)

find the distance.... If point A, B, C lie on a coordinate line and points A and B ave... (answered by checkley75)