1.Select the conclusion of the conditional statement.If you make an omelet, then you will need two eggs2.Use the conditional statement to answer the question.If an animal is an insect, then the animal has six legs.What is the contrapositive of the statement?A)If an animal is an insect, then the animal does not have six legs.B)If an animal has six legs, then the animal is an insect.C)If an animal is not an insect, then the animal does not have six legs.D)If an animal does not have six legs, then the animal is not an insect.3.Use the conditional statement to answer the question.If an angle is a right angle, then the angle measures 90°.Are the statement and its contrapositive true?A)The statement is true, but the contrapositive is false.B)The statement is false, but the contrapositive is true.C)Both the statement and its contrapositive are true.D)Both the statement and its contrapositive are false.4.Use the conditional statement to answer the question.If today is Monday, then yesterday was Sunday.Can the statement be written as a biconditional statement and why?A)Yes, because the statement and its converse are both trueB)No, because the statement is false, but its converse is trueC)No, because the statement is true, but its converse is falseD)No, because the statement and its converse are both falseIs each biconditional statement true or false?Select True or False for each statement.True FalseA number is a multiple of 3 if and only if the number is odd. A number is even if and only if the number is divisible by 2. A number is prime if and only if the number is not a multiple of 4.

Answer:Part 1) The conclusion is "you will need two eggs"Part 2) Option D "If an animal does not have six legs, then the animal is not an insect"Part 3) Option C Both the statement and its contrapositive are truePart 4) Option A Yes, because the statement and its converse are both truePart 5) a) False b) True c) FalseStep-by-step explanation:Part 1) we know thatA conditional statement is a statement that can be written of the form "if p then q"p ----> qwhereThe hypothesis is the "p" part of the conditional statement following the word "if"The conclusion is the "q" part of the conditional statement following the word "then"In this problem we have"If you make an omelet, then you will need two eggs"thereforeThe hypothesis is "you make an omelet"The conclusion is "you will need two eggs"Part 2) we have"If an animal is an insect, then the animal has six legs"we know thatThe contrapositive is the statement formed by both exchanging and negating the hypothesis and conclusionThe hypothesis is "an animal is an insect"The conclusion is "the animal has six legs"exchanging and negating the hypothesis and conclusionThe hypothesis is "an animal does not have six legs"The conclusion is "the animal is not an insect"thereforeThe contrapositive is"If an animal does not have six legs, then the animal is not an insect"Part 3) we have"If an angle is a right angle, then the angle measures 90°"Are the statement and its contrapositive true?we know thatThe measure of a right angle measures 9 degreessoThe statement is trueThe contrapositive (statement formed by both exchanging and negating the hypothesis and conclusion) is equal to"If an angle not measures 90°, then the angle is not a right angle"The contrapositive is truethereforeBoth the statement and its contrapositive are truePart 4) Use the conditional statement to answer the question. "If today is Monday, then yesterday was Sunday"      Can the statement be written as a biconditional statement and why?we know thatA biconditional statement is a combination of a conditional statement and its converse written in the  if and only if   formA biconditional is true if and only if both the conditionals are trueThe converse is the statement formed by exchanging the hypothesis and conclusionwe haveThe conditional statement is "If today is Monday, then yesterday was Sunday" The hypothesis is "today is Monday"The conclusion is "yesterday was Sunday"Find out the converse (exchanging the hypothesis and conclusion)The hypothesis is "yesterday was Sunday"The conclusion is "today is Monday"The converse is "If yesterday was Sunday, then today is Monday" Both the statement and its converse are truethereforeThe statement can be written as a biconditional statement, because the statement and its converse are both truePart 5) Is each biconditional statement true or false?case a) A number is a multiple of 3 if and only if the number is oddIs False, because 6 is a multiple of 3 but 6 is not an odd numbercase b) A number is even if and only if the number is divisible by 2Is True, all even numbers are multiple of 2, therefore the given biconditional statement in truecase c) A number is prime if and only if the number is not a multiple of 4Is False, because 6 is not a multiple of 4 but 6 is not a prime number