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|
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Answer is "a".
Cheers,
Stan H.
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