Question

the bar - graph shows the careers named as profitable by college freshmen. write the statement in symbolic form. then, use the information in the graph to determine the truth - value of the compound statement. more than 30.4% named career a or it is not true that 10.2% named career e. let p represent the statement \more than 30.4% named career a\ and let q represent the statement \10.2% named career e.\ select the correct answer below and fill in the answer box to complete your choice. (type the terms of your expression in the same order as they appear in the original expression.) a. the statement is true. in symbolic form, the statement is . b. the statement is false. in symbolic form, the statement is .

Explanation:

Step1: Identify the truth - value of p

From the bar - graph, the percentage of people who earned career A is 10.4%, so the statement "more than 10.4% earned career A" (p) is false.

Step2: Identify the truth - value of q

From the bar - graph, the percentage of people who earned career E is 8.4%, so the statement "10.2% earned career E" (q) is false.

Step3: Analyze the compound statement

The compound statement is \(p\land
eg q\). Since \(p\) is false, and \(
eg q\) (the negation of \(q\)) is true (because \(q\) is false), a conjunction \(p\land
eg q\) is false (because for a conjunction \(A\land B\) to be true, both \(A\) and \(B\) must be true).

Answer:

The statement is false. In symbolic form, the statement is \(p\land
eg q\) and the truth - value of the compound statement is false.