Homework Part 1 of 6 Points: 0 of 1 Refer to the following statement to answer parts (a) through (c) below. You did not mow the lawn or you left the room a mess. a. Write the statement in symbolic form. Assign letters to simple statements that are not negated. Choose the correct answer below. A. let \( p=y o u \) mowed the lawn and let \( q=y o u \) left the room a mess; \( \sim p \wedge q \) B. let \( p=y o u \) did not mow the lawn and let \( q=y o u \) left the room a mess; \( \sim p \wedge q \) C. let \( p= \) you mowed the lawn and let \( q=y o u \) left the room a mess; \( \sim p \vee q \) D. let \( p=y o u \) did not mow the lawn and let \( q=y o u \) left the room a mess; \( \sim p \vee q \)
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To convert the statement "You did not mow the lawn or you left the room a mess" into symbolic form, we can analyze the components. We want to denote "you mowed the lawn" as \( p \) and "you left the room a mess" as \( q \). The statement is presenting an "or" condition, which is typically represented by the disjunction symbol \( \vee \). Therefore, the correct symbolic representation would be: \( \sim p \vee q \), which corresponds to option D, where \( p \) is "you did not mow the lawn" (negated) and \( q \) is "you left the room a mess." Now, let's consider the final choice: **D. let \( p= \) you did not mow the lawn and let \( q= \) you left the room a mess; \( \sim p \vee q \)**.
