solve the question

2 Consider a Society which consists of three individuals, 1, 2 and 3. The Society needs to form a social preference for three projects, x, y and z. Suppose the social preference is aggregated from individual preferences by the Majority voting rule: For any pair of projects, say x and y, the society prefers x to y, written as x > y; if more than half of the individuals prefer x to y. Is the social preference always complete? Is it always transitive? Hint: Consider the following the preferences of the individuals for the projects 123 XYZ V zX zxy O A complete; transitive O B complete; not transitive O C not complete; transitive O D not complete; not transitive