Hi all,

I’m having trouble translating sentence 9 in 11.17, which says that every dodecahedron with nothing to its right has something to its left. Right now, I am saying there exists an x, where if x is a dodecahedron AND there doesn’t exist a y that is right of x, then there exists some z such that z is left of x. My sentence isn’t “equivalent to any of the expected answers.” Does anyone see where I went wrong?

Tobie GumenerHey Julia,

The sentence states that “EVERY dodec with nothing to its right has something to its left”. Recall that EVERY translates to a FOR ALL quantifier, not a THERE EXISTS quantifier. Therefore, starting your sentence with “there exists x where x is a dodec…” will lead you down the wrong path. This should be enough to guide you to the correct answer!