There are several statements in the table below. For each, determine whether it is a negation of this statement. It is not the case that the sign is on the window sill. Negation? Statement Yes No The sign is not on the bookshelf. O O The sign is on the floor. O O The sign is on the window sill. O O It is not the case that the sign is on the floor. O OConsider this conditional statement. If x+3 equals 8, then x equals 5. (a) Give the converse of the statement. If ( Choose one) then (Choose one) (b) Give the inverse of the statement. If ( Choose one) then (Choose one) (c) Give the contrapositive of the statement. (Choose one) then ( Choose one)There are several statements in the table below. For each, determine whether it is a negation of this statement. David is wearing boots. Negation? Statement Yes No David is wearing tennis shoes. O O David is not wearing boots. O O David is not wearing sandals. O O It is not the case that David is wearing boots. O OThere are several statements in the table below. For each, determine whether it is a negation of this statement. David is wearing boots. Negation? Statement Yes No David is wearing tennis shoes. O O David is not wearing boots. O O David is not wearing sandals. O O It is not the case that David is wearing boots. O OThe table below gives the shape and color of toy blocks in a certain set. These are the only toy blocks in the set. Shape Color Circde Green Star Green Clover Purple Square Red Triangle Blue Complete parts (a) through (c) below. Assume that any toy block mentioned comes from the set. (a) Write the following biconditional statement as a conditional statement and its converse. Biconditional statement: A toy block is a star if and only if the toy block is green. Conditional statement: If ( Choose one) then (Choose one) Converse: If ( Choose one) then ( Choose one) (b) Use the table to determine the truth value of the conditional statement and its converse. The conditional statement is (Choose one) 7 The converse is (Choose one) 7 (c) Determine the truth value of the biconditional statement. The biconditional statement is (Choose one)Complete the following. (a) Consider the following statement. x is equal to 500. Check all the statements below that are negations of this statement. O x is equal to 100. O x is not equal to 500. It is not the case that x is a multiple of 10. (b) Consider the following conditional statement. If the team is practicing, then the team won its most recent game. What is the hypothesis of this statement? O It is not the case that the team won all of its games. O It is not the case that the team needs to practice. The team won its most recent game. O The team is practicing- O The team does not practice.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 Chocolate 350 Butterscotch 250 Caramel 350 Cinnamon 150 Peppermint 200 A conditional statement is given below. Give the converse, inverse, and contrapositive 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. X 5 Given statement If a candy has 350 calories, then the candy is chocolate. True False If (Choose one) O Converse True False then [Choose one) If (Choose one) O Inverse True then (Choose one) False If (Choose one) O Contrapositive True False then [Choose one)Complete the following. (a) Consider the following statement. Teresa is in England. Check all the statements below that are negations of this statement. Teresa is in Europe. O It is not the case that Teresa is in England. Teresa is not in England. (b) Consider the following conditional statement. If the water temperature is 60 degrees Fahrenheit, then this fish is active. What is the conclusion of this statement? O The water temperature is 70 degrees Fahrenheit. O The water has no temperature. O The water temperature is 60 degrees Fahrenheit. O This fish is active. O It is not the case that the other fish are active.The table below gives the material of each item in Susan's jewelry box. These are the only items in Susan's jewelry box. Item Material Bracelet Gold Ring Silver Pendant Platinum Necklace Gold Hairpin Copper A conditional statement is given below. Give the contrapositive, converse, and inverse of the statement. Also use the table above to decide if each statement is true or false. Assume that any item mentioned comes from Susan's jewelry box. X 5 Given statement If an item is a bracelet, then the item is made from gold. True False If (Choose one) Contrapositive True False then (Choose one) if (Choose one) O Converse True False then (Choose one) If [Choose one) O O Inverse True False then (Choose one)Consider this conditional statement. If a letter was sent overseas, then the letter was sent from the U.S. to India. (a) Give the converse of the statement. If (Choose one) then (Choose one) (b) Give the contrapositive of the statement. If ( Choose one) then (Choose one) V (c) Give the inverse of the statement. If (Choose one) then (Choose one)The table below gives the shape and color of toy blocks in a certain set. These are the only toy blocks in the set. Shape Color Square Green Triangle Blue Star Purple Clover Red Circle Red Complete parts (a) through (c) below. Assume that any toy block mentioned comes from the set. (a) Write the following biconditional statement as a conditional statement and its converse. Biconditional statement: A toy block is red if and only if the toy block is a circle. Conditional statement: If (Choose one) then (Choose one) Converse: If (Choose one) then (Choose one) (b) Use the table to determine the truth value of the conditional statement and its converse. The conditional statement is (Choose one) 7 The converse is (Choose one) (c) Determine the truth value of the biconditional statement. The biconditional statement is (Choose one) 7