QUESTION 1 The logical statement (p Va) ( pr) (q--) is a tautology. True False QUESTION 2 Let the following propositional variables: P: I like Ipad Pro. E: Ipad Pro is expensive R: I will buy Ipad Pro. Consider the following sentence: "If I don't like Ipad Pro and it is expensive, I will not buy Ipad Pro Which of the following propositions correctly describes the sentence above? QUESTION 3 Let P(x) be the statement "x has an Ipad", where the domain consists of your friends. The following quantification 2xP(x) expressed in English as: There exists one of your friends who does not have an Ipad. Not all of your friends have an Ipad. All your friends have an Ipad. There exists one of your friends who has an Ipad. No one in your friends has an Ipad. QUESTION 4 Let Plx) be the statement"* > * H. If the domain consists of all negative integers, and zero, what is the truth value? True False QUESTIONS Determine the truth value of the following statement if the domain of each variable consists of all real numbers. Vx(x+x) True False QUESTION 6 Let P(x) be the statement "*x + 2 > 3x" If the domain consists of all integers. Which of the following statements that is evaluated to he False. Select one or more answers VxP(x) PO) 3xP(x) P(1) QUESTION 7 Are the following two propositions logically equivalent? (0 a) ^ (a p)=p - 9 True False QUESTION 8 Using De Morgan's laws, find the negation of the following statement. Amal is smart and strong. Amal is not smart and Amal not strong Amal is not smart or Amal is not strong Amal is smart and Amal is not strong Amal is not smart or Amal is strong