10 Points!! Can You Please Help?

Can someone please help me with this! i dont want to get another bad grade.. (10 points)?

• Okay so i took this and i didn't do so good,I really cant afford another bad grade so can you please tell me what i got wrong and help me through it. email me at [email protected] or answer this please! Write the compound statement in symbols. Then construct a truth table for the symbolic statement. Let r = "The food is good," p = "I eat too much," q = "I'll exercise." If I eat too much, then I'll exercise. A) Q P Q--->p T T T T F T F T F F F T B) p-->q P Q P-->Q T T T T F F F T T F F T C) q--->p P Q Q-->P T T F T F T F T F F F F D) P-->Q P Q P-->Q T T T T F F F T F F F T 2.Write an equivalent sentence for the statement. It is false that cats are lazy or dogs are not friendly (Use De Morgan's laws.) A. Cats are not lazy or dogs are not friendly. B. Cats are not lazy and dogs are friendly. C. Cats are lazy and dogs are friendly. D. Cats are not lazy or dogs are friendly 3.Write a negation of the statement. She earns more than me. A. She earns less than me. B. She earns the same as me. C. She does not earn less than me. D. She does not earn more than me. 4. Represent each circuit with a symbolic statement. Using a truth table, state whether the circuits are equivalent. ______/p_____ ; ;-------/~p ;_____/q_____; ____/p______ ; ;____/~p ;__/p_____/q_; A. (p ∨ q) ∧ ~p; [p ∨ (~p ∧ q)] ∧ ~p; equivalent B. (p ∨ q) ∧ ~p; [p ∨ (~p ∧ q)] ∧ ~p; not equivalent C. (p ∧ q) ∨ ~p; [p ∧ (~p ∨ q)] ∧ ~p; not equivalent D. (p ∧ q) ∨ ~p; [p ∧ (~p ∨ q)] ∧ ~p; equivalent 5. Construct a truth table for the statement. q → ~r a) q r q-->~r T T T T F T F T F F F F B. q r q-->~r T T T T F F F T T F F T C. q r q-->~r T T F T F T F T T F F T D. q r q-->~r T T F T F F F T T F F T 6.Write the contrapositive of the statement. Then use the contrapositive to determine whether to conditional statement is true or false. If 10 does not divide the counting number, then 5 does not divide the counting number. A. If 5 divides the counting number, then 10 divides the counting number. false B. If 10 divides the counting number, then 5 divides the counting number. true C. If 10 divides the counting number, then 5 divides the counting number. false D. If 5 divides the counting number, then 10 divides the counting number. true 7.Let p represent a true statement, while q and r represent false statements. Find the truth value of the compound statement. ~[(~p ∧ q) ∨ r] A. True B. False 8.Determine whether the statement is a self-contradiction, an implication, a tautology (that is not also an implication), or none of these. p → (q ∨ p) A. Self-contradiction B. Tautology C. Implication D. None of these 9.Write the compound statement in symbols. Let r = "The food is good," p = "I eat too much," q = "I'll exercise." I'll exercise if I don't eat too much. A. ~p ∧ q B. ~(p → q) C. ~p → q D. ~p ∨ q 10.Use an Euler diagram to determine whether the syllogism is valid or invalid. Not all that glitters is gold. My ring glitters. ∴ My ring is not gold. A. Valid B. Invalid Thanks everyone, i hope i made it easy to read! please help ill give you 10 points as i said!♥

• Answer:

  i only got a couple cause im still working on it but here or some! question 2 - B question 4 - D question 6 - TRUE question 7 - C question 12 - D question 13 - B question 14 - D question 16 - C question 17 - C question 19 - C