Problem 19

Explanation

This question asks us to find the incorrect conclusion or the negation of the statement found in the text.

Consider the following sentence:

"Brown rice has a higher fiber content... Thus making one feel full faster and not overeat."

This statement is in the form of an implication ($p \rightarrow q$):

• $p$: Brown rice has high fiber content.
• $q$: Makes one feel full faster and not overeat.

An incorrect conclusion means we are looking for the negation of that implication. The negation of $p \rightarrow q$ is $p \land \sim q$ (p and not q).

Let's analyze the components:

• $p$: Brown rice has high fiber.
• $q$: Makes one feel full faster and not overeat.
• $\sim q$: Does not make one feel full faster or leads to overeating (De Morgan's Law: negation of "and" is "or").

Thus, the negation is:

"Brown rice has high fiber and (does not make one feel full faster or leads to overeating)."

Let's check the options:

• Matching option: "Brown rice has high fiber and does not make one feel full faster or lead to overeating."

This option matches the logical form $p \land \sim q$.

Thus, the incorrect conclusion is Brown rice has high fiber and does not make one feel full faster or lead to overeating.