Please answer the question

2. Consider a utility function u : R4 - R given by u(x1, X2) = min {x1, 22}. Give a precise statement of what it means for this utility function to be nondecreasing, increasing, strictly increasing, and locally nonsatiated. In each case say whether this utility function satisfies the property and show that your answer is true. That is, prove that the utility function satisfies the property if it does and prove that it does not satisfy the 12 rl-al