Questions: p: Biology was chosen by the greatest number of freshmen. q: More freshmen chose to major in business than in nursing. (a) Write the following statement in symbolic form using p and q. Biology was chosen by the greatest number of freshmen, and more freshmen chose to major in business than in nursing. Symbolic form: p and q (b) Based on the information in the bar graph, complete the table to determine the truth of the statement from part (a). Use T for true and F for false.

p: Biology was chosen by the greatest number of freshmen. q: More freshmen chose to major in business than in nursing. (a) Write the following statement in symbolic form using p and q. Biology was chosen by the greatest number of freshmen, and more freshmen chose to major in business than in nursing. Symbolic form: p and q (b) Based on the information in the bar graph, complete the table to determine the truth of the statement from part (a). Use T for true and F for false.
Transcript text: p: Biology was chosen by the greatest number of freshmen. q: More freshmen chose to major in business than in nursing. (a) Write the following statement in symbolic form using $p$ and $q$. Biology was chosen by the greatest number of freshmen, and more freshmen chose to major in business than in nursing. Symbolic form: $p \land q$ (b) Based on the information in the bar graph, complete the table to determine the truth of the statement from part (a). Use T for true and F for false.
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Solution

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Solution Steps

Step 1: Symbolic form of the statement

The given statement is "Biology was chosen by the greatest number of freshmen, and more freshmen chose to major in business than in nursing." This statement combines statement _p_ and statement _q_ using "and." The symbolic representation of "and" is $\wedge$.

Step 2: Determine the truth value of _p_.

Statement _p_ states: "Biology was chosen by the greatest number of freshmen." Looking at the bar graph, Biology has the highest bar at 1350 freshmen. This means statement _p_ is true.

Step 3: Determine the truth value of _q_.

Statement _q_ states: "More freshmen chose to major in business than in nursing." The bar graph shows 375 freshmen chose business, and 600 chose nursing. Thus, statement _q_ is false.

Final Answer:

a) $p \wedge q$ b) p: T, q: F, $p \wedge q$: F

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