Question: detailed working and explanation 9. For any x E R, let [x] denote the largest integer n such that x 2 n, and let Zu

 detailed working and explanation 9. For any x E R, let

detailed working and explanation

[x] denote the largest integer n such that x 2 n, and

9. For any x E R, let [x] denote the largest integer n such that x 2 n, and let Zu C R x R be the preference relation on R that is induced by u(x) := [x], as defined in question 7 above. Show, using the original definition of continuity of a weak preference relation, that Zu is not a continuous preference relation

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