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MathNet 1984 — Part 01 Question 30

Math Olympiad Vault · MathNet 1984 — Part 01

Question 30

$A$, $B$, $C$ and $D$ lie on a line in that order. Show that if $X$ does not lie on the line then
$$
|XA| + |XD| + ||AB| - |CD|| \gt |XB| + |XC|
$$