Consider the following statements:

Assume a consumer's choice is based on only 2 commodities i.e., X ∈ \(R_+^2\), where X is the set of an possible commodities which a consumer can conceive of:

(A) Monotonicity of preference implies strong monotonicity but not the other way round.

(B) A preference relation is monotone if for all commodity bundle x, y ∈ X, y ≥  x and y ≠ x; then y ≽ x.

(C) A preference relation (≽) on X is strongly monotone if for all commodity bundles x, y ∈ X, y > x and y ≠ x; then y ≽ x.

(D) A preference which is locally non satiated must follow monotonicity and strong monotonicity.

Choose the correct answer from the options given below: