can someone help me weather these statement are true or false

1. (28 points) Determine whether each of the following statement is "true" or "false". (No explanation needed) (a) (4) If there are two goods with positive prices and the price of one good is reduced, while income and other prices remain constant, then the size of the budget set is reduced. (b) (4) If there are two goods and the prices of both goods rise, then the budget line must become steeper. (c) (4) If preferences are transitive, more is always preferred to less. (d) (4) The assumption of a diminishing MRS is equivalent to the assumption that all combination of x and y that are preferred or indifferent to a particular combination x* , y* form a strictly convex set. (e) (4) Melody Pond has diminishing MRS. If Melody has more classical records than rock and roll records, she is willing to exchange exactly 1 classical record for 2 rock and roll records, but if she has more rock and roll records than classical records, then she is willing to exchange exactly 1 rock and roll record for 2 classical records. (f) (4) Charlie's utility function is U(x, y) = ry?. His marginal rate of substitution between x and y does not change if the amount of both goods doubles. (g) (4) Quasi-linear preferences are homothetic when the optimal amount of good 1 is not afford- able