Question

On a number line,points A,B and C are such that d(A,C)=10 , d(C,B)=8 Find d(A,B) considering all possibilities.​

Answer 1

There are only two possibilities.

Case 1: When point C is between the points A and B.

We have,

d(A, C) = 10; d(C, B) = 8

Now,

d(A, B) = d(A, C) + d(C, B) = 10 + 8 .. d(A, B) = 18

Case 2: When point B is between the points A and C.

We have,

d(A, C) = 10 ; d(C, B) = 8

Now,

d(A, C) = d(A, B) + d(B, C)

So,

d(A, B) = d(A,C) - d(B, C) = 10 -8 .: d(A, B) =2

Answer 2

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