Answer
It is not July 4th, or we are having a barbecue.
Work Step by Step
$\neg q$: It is not July 4th.
$r$: We are having a barbecue.
Thus, the given symbol means:
It is not July 4th, or we are having a barbecue.
You can help us out by revising, improving and updating this answer.
Update this answerAfter you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.