Let X="Fred has red hair," let Y = "Fred has a big nose" and R = "Fred likes to eat figs." Translate the following statements into symbols. (1) Fred does not like to eat figs. (2) Fred has red hair, and does not have a big nose. (3) Fred has red hair or he likes to eat figs. (4) Fred likes to eat figs, and he has red hair or he has a big nose. (5) Fred likes to eat figs and he has red hair, or he has a big nose. (6) It is not the case that Fred has a big nose or he has red hair. (7) It is not the case that Fred has a big nose, or he has red hair. (8) Fred has a big nose and red hair, or he has a big nose and likes to eat figs.