Question

Write the compound statement in symbolic form. Let letters assigned to the simple statements represent English sentences that are not negated. Use dominance of connectives to show grouping

symbols (parentheses) in the symbolic statement.
If I am a potential truck driver and non-potential driver then I pass a written exam or do not pass a road test.
Let p represent the simple statement "Pass a written exam," q represent "Pass a road test," r represent "a potential truck driver and s represent "a potential driver."
The compound statement in symbolic form is

Answer 1

The compound statement in symbolic form is (r ^ ~s) → (p ∨ ~q). It represents the condition that if someone is a potential truck driver and not a potential driver, then they either pass a written exam or do not pass a road test.

Step-by-step explanation:

The compound statement in symbolic form is (r ^ ~s) → (p ∨ ~q). This statement uses the dominance of connectives to show grouping symbols. Let's break it down:

1. (r ^ ~s) represents the condition that the person is a potential truck driver and not a potential driver.
2. (p ∨ ~q) represents the condition that the person either passes a written exam or does not pass a road test.

So, the overall statement can be read as 'If the person is a potential truck driver and not a potential driver, then they either pass a written exam or do not pass a road test'.

Learn more about Symbolic representation of compound statement