In the context of the word "interior," the root "infer" does not apply directly, as "interior" comes from the Latin "interior," meaning "inner" or "inside." However, regarding the word "inferior" in the sentence you provided, the root "infer" can be referenced in a different context.
In "inferior," the root "infer" typically relates to being lower in quality, value, or position. In this case, the correct meaning in your sentence would be "below." So, "inferior products" means products that are of lower quality compared to others.