To points A,B,C on a number line are such d(A,C),d(C,B)=8
if d(A,B) consider .
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Case I: Points A, B, C are such that, A – B – C. ∴ d(A, C) = d(A, B) + d(B, C) ∴ 10 = d(A, B) + 8 ∴ d(A, B) = 10 – 8 ∴ d(A, B) = 2 Case II: Points A, B, C are such that, A – C – B. ∴ d(A, B) = d(A, C) + d(C, B) = 10 + 8 ∴ d(A, B) = 18
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