INVERSE, CONVERSE AND CONTRAPOSITIVE OF A CONDITIONAL STATEMENTS

What is the negation of the statement: “The sky is blue.”?

(a)  

TRUE or FALSE. The converse of the statement, “If you are in love, then you are inspired.” is "If you are not in love, then you are not inspired."

• A. True

• B. False

What is the inverse of the statement: “If the number is divisible by 2 and 3, then it is divisible by 6.”

• A. If the number is divisible by 6, then it is divisible by 2 and 3.

• B. If the number is not divisible by 2 and 3, then it is not divisible by 6.

• C. If the number is not divisible by 6, then it is not divisible by 2 and 3.

• D. If the number is divisible by a and 3, then the number is not divisible by 6.

What is the contrapositive of: If I have a Siberian Husky, then I have a dog.

• A. If I have a dog, then I have a Siberian Husky.

• B. If I have a dog, then I do not have a Siberian Husky.

• C. If I do not have a Siberian Husky, then I do not have a dog.

• D. If I do not have a dog, then I do not have a Siberian Husky.

Tags

CCSS.L.2.1F

CCSS.L.8.1C

CCSS.L.8.3A

What is the inverse of the converse of the statement? “If JM loves Mathematics, then he loves Geometry.”

• A. If JM does not love Geometry, then he does not love Mathematics.

• B. If JM loves Mathematics, then he loves Geometry.

• C. If JM does not love Mathematics, then he does not love Geometry.

• D. If JM loves Geometry, then he loves Mathematics

Tags

CCSS.L.2.1F

CCSS.L.8.1C

CCSS.L.8.3A