Answer
The symbolic form is \[p\vee \tilde{\ }q\] and truth value is True.
Work Step by Step
Assume the statement
\[p\]: More than 10% named business.
\[q\]: 9% named engineering.
The symbols“~” is used for the word “not” and “\[\vee \]” for the word “or.”
So, combine all the simple statements to write the compound statement in symbolic form by the use of the symbols “~”and “\[\vee \].”
The symbolic form of the statement “More than 10% named business or it is not true that 9% named engineering” is \[p\vee \tilde{\ }q\].
Now, from given graph, the statement \[p\] is false and the statement \[q\]is also false.
Consider the following statement:
\[p\vee \tilde{\ }q\]
Substitute the truth value true as T and false as F and use properties of conjunction and disjunction (conjunction gives truth value true only when all statements are true and disjunction gives truth value false only when all statements are false, and also use the negation property to make the statement negative).
\[\begin{align}
& \text{F}\vee \tilde{\ }\text{F} \\
& \text{F}\vee \text{T} \\
& \text{T} \\
\end{align}\]
Hence, the symbolic form of the provided statement is \[p\vee \tilde{\ }q\] and the truth value of the statement is true.
