The following argument is a sound disjunctive syllogism: "Either the Earth is perfectly flat or the Earth is perfectly round.The Earth is not perfectly flat.Therefore,the Earth is perfectly round."

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This argument is a valid disjunctive syllogism, but it is not sound. In order to be sound, all the premises would have to be true, but the first premise of this argument ("Either the Earth is perfectly flat or the Earth is perfectly round") is false, since there are other possibilities it does not consider. An argument by elimination that fails to consider all possibilities commits the fallacy of false alternatives.

The Following Argument Is a Sound Disjunctive Syllogism: "Either the Earth