(10*15 + 2*15 + 2*15 + 4* 15 # 275 Points) 3.1 In the questions below write the negation of the statement. (Don’t write “It is not true that. 3.1.1 It is Thursday and it is cold. .1.2 Iwill go to the play or read a book, but not both. 3.1.3 If it is rainy, then we go to the movies. 3.1.4 Some bananas are yellow. 1.5 All integers ending in the digit 7 are odd. 3.1.6 No tests are easy. .1.7 Roses are red and violets are blue 3.1.8 Some skiers do not speak Swedish. 3.1.9 It is Thursday and it is cold. .1.10 Iwill go to the play or read a book, but not both. 3.2 Explain why the negation of 3.2.1 “Al and Bill are absent” is not “Al and Bill are present” 3.2.2 “Some students in my class use e-mail” is not “Some students in my class do not use e-mail. 3.3 On the island of knights and knaves you encounter two people, A and B. Person A says, “B is a knave.” Person B says: 3.3.1 We are both knights.” Determine whether each person is a knight or a knave. 3.3.2 At least one of us is a knight.” Determine whether each person is a knight or a knave. 3.4 Using cfor “it is cold”, r for “it is rainy”, and wfor “it is windy”, write in symbolic form 3.4.1 t is neither cold nor dry 3.4.2 “t is rainy if it is not cold 3.4.3 “To be windy it is necessary that it be cold” 3.4.4 “t is rainy only if it is windy and cold” in symbols