Suppose the consumer has convex preferences

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Suppose the consumer has convex preferences, and we know (2, 4) (6, 1). Is the statement (4, 2.5) Ç (6, 1) correct? What about the statement (4, 2.5) > (6, 1)? Suppose now the consumer has strictly convex preferences, and we know (2, 4) (6, 1). Does any of your answers change?

 

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