# Deduction from a sequence of statements

check the validity of the following argument: "if the rents of hotels in jammu are fixed or the prices of the commodities are reduced then the income of bussinessmen shall decrease. If the income of businessmen decrease then the farmer shall feel happy. The farmers never feel happy. Therefore the rents of the hotels are not fixed" .

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What you have here are implications $A \lor B \implies C$ and $C \implies D$. Which, by modus pones, implies $A \lor B \implies D$. Which is the same as $D \lor \lnot(A \lor B)$. If this propositions is to be true when $D$ is false, $\lnot (A \lor B)$ will have to be true. What does that tell you about $A$ and $B$?
(Here, $A$ means the rents are fixed, $B$ that the price of the commodities are reduced, $C$ that the income of businessman decreases, and $D$ that farmers are happy)