1. Consider the following relation r below. Which of the following FDs does r satisfy? 2. Let F = {AB C, B D,CD E,CE GH,G A). Using Armstrong's axioms, give proofs for the following: 3. Prove or disprove the following inference rules for a relation r(R) with W. X. Y. and Z subsets of attributes of R. a. X Y and Z W imply XZ YIV. I). XY Z and Z X imply Z Y. c. XY and Y Z imply X YZ