Question

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question 30
question 31
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question 33
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: Analyze the "and" part

The statement "Pass a road test and a written exam" is represented as $p\land q$.

Step2: Analyze the "or" part

The statement is about "a potential driver or a potential truck - driver", represented as $r\lor s$.

Step3: Combine the statements

The compound statement "Passing a road test and a written exam is necessary for each potential driver or potential truck driver" means that the condition of passing both tests is for either type of driver. So the symbolic form is $(p\land q)\to(r\lor s)$.

Answer:

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