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Consider the truthfulness of the following statement. If the income consumption curve is downward sloping, then...

Consider the truthfulness of the following statement.

  1. If the income consumption curve is downward sloping, then good y is necessarily an inferior good.

  2. If the price consumption curve (as the price of good x changes) is upward sloping, the demand curve for good x is necessarily downward sloping.

A. Only statement I is true.
B. Only statement II is true.
C. Both statements I and II are true.

D. Neither statement is true

please show your work. thank you.

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