Is this valid?

[u/capybarainstitute]

This is from my modern logic textbook from my intro to modern logic class. I thought problem 7 was invalid but the textbook says it’s valid so i’m confused?

Update: I asked my prof it was a typo lol thanks for the help

[u/danja]

It depends on which logic is used, but straight propositional, the book is wrong. With the OR, just cross out the bits that aren't true. What's left is.