For each sentence, determine whether it's a statement. Statement? Sentence Yes No X 5 Wash your hands before dinner. O O Wow! O O 7 x6 = 42 O O Is your house painted blue? O O The moon is the largest planet. O OThere are several statements in the table below. For each, determine whether it is a negation of this statement. The dress is not brown. Negation? Statement Yes No "he dress is green. 0 0 "he dress is brown. 0 0 "he dress is not green. 0 Q It is not the case that the dress is green. 0 O Consider the given statement. Some instructors at the gym cannot swim. For each statement below, determine whether it is a negation of the given statement. Yes No X Eirer'i,r instructor at the gym can swim. O 0 ~ No instructor at the gym can swim. O 0 At least one instructor at the gym can swim. O 0 Some instructors at the gym can swim. O O The table below gives the number of calories for each type of candy in a certain box. These are the only types of candy in the box. Type of candy Number of calories Caramel 350 Peppermint 200 Cinnamon 150 Chocolate 350 Butterscotch 250 A conditional statement is given below. Give the inverse, contrapositive, and converse of the statement. Also use the table above to decide if each statement is true or false. Assume that any candy mentioned comes from the box. O X 5 Given statement If a candy is caramel, then the candy has 350 calories. True False If a candy is not caramel, O InverseO X 5 Given statement If a candy is caramel, then the candy has 350 calories. True False If a candy is not caramel, O Inverse True False then the candy does not have 350 calories. If a candy does not have 350 calories, O Contrapositive True False then the candy is not caramel. If a candy has 350 calories, O O Converse True False then the candy is caramel.Suppose that the given statements are true. Find the other true statements. (a) Given: If I liked the poem, then Carmen prefers black to red. I liked the poem. Which statement must also be true? (choose one (b) Given: If Salma is a doctor, then the mouse escaped from the cat. If the mouse escaped from the cat, then I forgot to make the bed. Which statement must also be true? (choose one) (c) Given: If the river is overflowing, then that is Kira's favorite joke. Which statement must also be true? (choose one) X 5