Question: please answer the question Suppose that the consumption space is R1. Explain, in your own words, why if a utility function it represents the preferences

please answer the question

Suppose that the consumption space is R1. Explain, in your own words, why if a utility function it represents the preferences E; then the preferences f; are convex if and only if the utility function u is quasiconcave but that While if the utility function u is concave then the preferences :3 are convex but that the preferences may be convex but the utility function not be concave

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