Question

On a number line, points A, B and C are such that d(A,C) = 10, d(C,B) = 8

Answer 1

Answer:

$d(A,B) = 18$

$d(A,B) = 2$

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:

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

$d(A,B) = 2$