5. (8pts) What is the negation of each of these proposition? Start by translating each English statement into logic. You must explicitly state what are the atomic propositions. Then, negate the obtained logical statement. After that translate the negated logical statement back into English. (a) 89 is a Fibonacci number. (b) If you drive more than 400 miles, you need to rest or buy gasoline. (c) Am and Om came to the meeting. (d) If you eat healthy and exercise regularly you will boost your immune system. 6. (8pts) Determine which of the following statements are True and explain why or why not. (a) 12>10 or unicorns exist. (b) If 34>12 then x2+x+1=0 has no real solution. (c) The earth has more than one moon if and only if the earth is flat. (d) 2+5=25 and 25=25