Answer
The symbolic form is \[p\wedge \tilde{\ }q\] and truth value is false.
Work Step by Step
Assume the statements:
\[p\]: More than 10% named business.
\[q\]: 9% named engineering.
The symbol ‘~’ is used for the word ‘not’, and ‘\[\wedge \]’ for ‘and’.
So, combine all the simple statements to write the compound statement in symbolic form using the symbols ‘~’, and ‘\[\wedge \]’.
The symbolic form of the statement, “More than 10% named business and it is not true that 9% named engineering” is \[p\wedge \tilde{\ }q\].
Now from given graph, the statement \[p\] is false and the statement \[q\]is also false.
Consider the statement:
\[p\wedge \tilde{\ }q\]
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).
\[\begin{align}
& \text{F}\wedge \tilde{\ }\text{F} \\
& \text{F}\wedge \text{T} \\
& \text{F} \\
\end{align}\]
