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Question 90117: 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)
Answer by kamallohia(18)   (Show Source):
You can put this solution on YOUR website! 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)
Here goes the solution.
Let x be the co-ordinate of point C then d(AC)=x-15,
and d(BC)=x-7 if x>7,15
then as given, (x-15)>(x-7)=> which can't be true for x>15
So let's assume 7
hence (15-x)<(x-7) => 2x>22 => x>11.
Now if x<7,15
then, (15-x)<(7-X) => which can't be true for x<7
Hence solution set is 11>x>15.
Hope this is clear.
Kamal Lohia
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