4 Let Px be the predicate x is a car Let Qx be the predicat

4. Let P(x) be the predicate x is a car . Let Q(x) be the predicate x is in the garage Let R(x) be the predicate x has a broken window . Let S(x, y) be the predicate x and y are the same object . a) Something is not in the garage. b) There are at least two cars. c) If something has a broken window and is in the garage then it is a car. d) Not everything has a broken window. e) There is exactly one car. f) Cars have broken windows. g) There is at most one car. h) Everything has a broken window and is in the garage. i) Only cars are in the garage Translate the following symbolic notation into English:

Solution

j) For all cars having a broken window are in the garage

k) For all cars in the garage have a broken window

l) There exists a car that is in the garage

m) There exists a car havi9ng a broken window