You are asked “Should we buy a house or not?” and given the following set of rules to answer it:
R1: IF inflation is low, THEN interest rates are low, ELSE interest rates are high.
R2: IF interest rates are high, THEN housing prices are high. ELSE housing prices are low R3:
IF housing prices are high, THEN do not buy a house, ELSE buy a house.
a. Run backward chaining with a high inflation rate, as given.
b. Run forward chaining with a low inflation rate, as given.
c. Prepare an inference tree for the backward-chaining case.