Question

Q4. If 8= {rabbit, cat, dog, emu, turtle, mouse, aardvark) and H= (rabbit, emu, mouse) and J= {cat, dog}: list the members of H' b list the members of J' c list the members of H'UJ' what is HOR d e find (H')' what is HUH'? ​

Answer 1

a. H' = {cat, dog, aardvark, turtle}
b. J' = {rabbit, emu, turtle, mouse, aardvark}
c. H'UJ' = {rabbit, cat, dog, emu, turtle, mouse, aardvark}
d. There seems to be a typo in the question, and I am not sure what "HOR" refers to.
e. (H')' is the complement of the complement of H, which is just H itself. So (H')' = H.
f. HUH' = {rabbit, cat, dog, emu, turtle, mouse, aardvark}. This is because H' is the set of all animals that are not in H, and the union of H and H' includes all animals in the original set 8.