Question

let w represent i wash my windows, let r represent it rains, and let t represent the tennis match is postponed. write the compound statement in symbols. if it does not rain, then i wash my windows. the statement is written symbolically as ¬□ → □.

Explanation:

Step1: Identify the negation

The phrase "it does not rain" is the negation of "it rains". Since \( r \) represents "it rains", the negation of \( r \) is \(
eg r \).

Step2: Identify the consequent

The phrase "I wash my windows" is represented by \( w \). In a conditional statement "If \( p \), then \( q \)", \( p \) is the antecedent and \( q \) is the consequent. Here, the antecedent is \(
eg r \) and the consequent is \( w \). So the conditional statement "If it does not rain, then I wash my windows" is symbolized as \(
eg r \to w \).

Answer:

The first box should be filled with \( r \) and the second box should be filled with \( w \), so the symbolic statement is \(
eg r \to w \).