Please explain the answers

1. Write the negation of each statement: (a) All lions are predators. (b) Some lions roar. (c) Only lions roar. (d) Some lions eat all zebras. (e) All lions eat all zebras. 2. Show that the following argument is valid. Make sure you indicate a reason for each step. Use the following predicates R(2): "has red hair" F(2): "r has freckles" B(2): "r has big feet" GT): "r has green eyes" Everyone with red hair has freckles. Someone has red hair and big feet. Everybody who doesn't have green eyes doesn't have big feet. Therefore somebody has green eyes and freckles. 3. Find the truth value of the following propositions and explain your reasoning. In all cases, the universe of discourse is the set of all real numbers. (a) Vray(I + y = 1) (b) Syr(x+y=r) (c) VrVyX0+r?