5. Through some fancy Lagrangian techniques, you find an individual's demand function for good x to be: x = 3 - PyPy . Consider the 4 statements (a-d) below. Which of these statements, if any, is not necessarily true? a. As the price of good y goes up, this individual will consume less of good x. b. The demand curve for good x is downward sloping. c. The Engel curve for good x is vertical. d. The price consumption curve (as the price of x changes) is upward sloping. e. All of the above statements are necessarily true