Consider the following three consumptions bundles in a two-good economy: x = (10,7), y = (5,6), z = (11,3). These are the only three consumption bundles Anne can choose from. Anne's preferences are such that * > y and y > z and z > x. Evaluate the following statements.
1. Anne's preferences are transitive. (True, False). Explain
2. Anne's preferences violate monotonicity. (True, False). Explain