Please be noticed it's about the lexicographical order. If it can be represented by utility, you need use a function to show the relation.

Question 1 Let X C R X R. For any two bundles r : ($1,962) E X and y : (y1,y2) E X dene the relation jL as follows: m j]; y if and only if [351 > ml or [$1 : yl and $2 g ml. (1) Assume the choice space is X : [0, l] X Q. Can this preference relationship be represented by a utility function? Show all details of your claim and its proof. (2) Assume the choice space is X : N X [1, 1]. Can this preference relationship be represented by a utility function? Show all details of your claim and its proof