Good morning. guyz.......) On a number line, points A,B,C are such that
d (A,C) = 10, D(C B) = 8 . Find d (a b) considering
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Step-by-step explanation:
Given, d(A, C) = 10, d(C, B) = 8. 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 Case III: Points A, B, C are such that, B – A – C. From the diagram, d(A, C) > d(B, C) Which is not possible ∴ Point A is not between B and C. ∴ d(A, B) = 2 or d(A, B) = 18.
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