Questions: (a) Write the following statement in symbolic form using p and q. The company budgets the most money for engineering, and the company budgets more money for sales than research. Symbolic form: p ∧ q (b) Based on the information in the circle graph, complete the table to determine the truth of the statement from part (a). Use T for true and F for false.

(a) Write the following statement in symbolic form using p and q.

The company budgets the most money for engineering, and the company budgets more money for sales than research.

Symbolic form: p ∧ q

(b) Based on the information in the circle graph, complete the table to determine the truth of the statement from part (a). Use T for true and F for false.

Transcript text: (a) Write the following statement in symbolic form using $p$ and $q$. The company budgets the most money for engineering, and the company budgets more money for sales than research. Symbolic form: $p \wedge q$ (b) Based on the information in the circle graph, complete the table to determine the truth of the statement from part (a). Use $T$ for true and $F$ for false.

Solution

Solution Steps

Step 1: Define p and q

Let p be the statement "The company budgets the most money for engineering." Let q be the statement "The company budgets more money for sales than research."

Step 2: Symbolic form of the statement

The given statement is a conjunction, meaning both p and q must be true. The symbolic form of the statement is p ∧ q.

Step 3: Truth values of p and q

From the pie chart, we can see that engineering receives the largest budget ($215,000), so p is true. Sales receives $100,000 and research receives $145,000. Since $100,000 is less than $145,000, q is false.

Final Answer:

(a) p ∧ q (b) p is T, q is F, p ∧ q is F

Was this solution helpful?

Unhelpful

Helpful

Questions asked by other users

< Previous Next >

Thank you for your feedback.

Copied!