Consider the following statements about a consumer's preferences over two commodities (X in R^2_+).
(A) Monotonicity of preference implies strong monotonicity but not the other way round.
(B) A preference relation is monotone if for all bundles x, y in X, y >= x and y != x, then y is preferred to x.
(C) A preference relation on X is strongly monotone if for all bundles x, y in X, y >= x and y != x, then y is preferred to x.
(D) A preference which is locally non-satiated must follow monotonicity and strong monotonicity.
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