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.
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Answer 1

`d(A,B) = 18`

`d(A,B) = 2`

Step-by-step explanation:

Given

`d(A,C) = 10`

`d(C,B) = 8`

Required

`d(A,B)`

It is possible that:

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

So:

`d(A,B) = 10+8`

`d(A,B) = 18`

Also, it is possible that:

`d(A,B) = d(A,C) - d(B,C)`

So:

`d(A,B) = 10 - 8`

`d(A,B) = 2`