Question

write the compound statement in symbolic form. assign letters to simple statements that are not negated and show grouping symbols in symbolic statements. passing a road test and a written exam is necessary for each potential driver or potential truck driver. let p represent the simple statement \pass a road test,\ q represent \pass a written exam,\ r represent \a potential driver\ and s represent \a potential truck driver.\ the compound statement written in symbolic form is

Explanation:

Step1: Identify the key logical connectives

The word "and" indicates a conjunction ($\land$), and "or" indicates a disjunction ($\lor$). The statement "Passing a road test and a written exam is necessary" can be thought of as a condition for the following "or" statement.

Step2: Translate into symbolic form

We have two simple statements combined with "and" (p and q) and then this combined statement is related to the "or" statement about the types of drivers. So the symbolic form is $(p\land q)\to(r\lor s)$.

Answer:

$(p\land q)\to(r\lor s)$