Final answer:
In this question, the propositions P, Q, and R represent different statements. The logical representation of these statements is explained step-by-step.
Step-by-step explanation:
In this question, we are given three propositions: P represents 'The weather is bad', Q represents 'The trip is cancelled', and R represents 'The trip is delayed'.The proposition 'The weather is bad and the trip is cancelled' can be represented as P ∧ Q.The proposition 'The weather is bad or the trip is cancelled' can be represented as P ∨ Q.The proposition 'The weather is bad implies that the trip is delayed' can be represented as P → R.