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Kerry's preferences are monotonic and strictly convex. He is indifferent between bundles (5, 3) and (11, 1). So, he must like the bundle (9, 2)

Kerry's preferences are monotonic and strictly convex. He is indifferent between bundles (5, 3) and (11, 1). So, he must like the bundle (9, 2) at least as much as either of the first two bundles. Is this true or false? Provide an explanation with necessary calculations, if there are any.

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