Kenneth Rosen Edition 6th Exercise 1.1 Question 24 (Page No. 19)

Question

State the converse, contrapositive, and inverse of each of these conditional statements.

• A. If it snows tonight, then I will stay at home.
• B. I go to the beach whenever it is a sunny summer day.
• C. When I stay up late, it is necessary that I sleep until noon.

Answer 1

1.If it snows tonight, then I will stay at home.

converse   =If I will stay at home then  it snows tonight.

contrapositive, =If I will not stay at home then  it  does not snow tonight.

inverse =If it does not snow tonight, then I will not stay at home.

   2.I go to the beach whenever it is a sunny summer day.

converse   = It is a sunny summer day whenever I go to the beach.

contrapositive, =it is not a sunny summer day whenever I do not go to the beach.

inverse =I do not go to the beach whenever it is not a sunny summer day.

3. we can re write the statement like if i stay up late then i sleep until noon . 

converse : if i sleep until noon then i stay up late .

contrapositive : if i dont sleep until noon then i did not stay up late 

inverse : if i didnt stay up late then i dont sleep until noon