On a number line, points U, V and A are such that d(U, A) = 215 units, d(V, A) = 140 units and d(U, V) = 75 units. Which of the points is between the other two?
[2 Marks]
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Solution
Given, d(U, A) = 215 units
d(V, A) = 140 units
d(U, V) = 75 units
d(U, A) = 215
and d(U, V) + d(V, A) = 75 + 140 = 215
[1 Mark]
∴ d(U, A) = d(U, V) + d(V, A)
Hence, point V is between the points U and A.
[1 Mark]