State the converse, contrapostive, 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.
Step 1 :
The objective is to show converse, the contrapositive, and the inverse of these conditional statements.
Step 2 :
If a and b denotes two compound proposition and a, represents their conditional statement then their converse, the contrapositive and the inverse.
i). Converse is
ii). Contrapositive is
iii). Inverse is
Step 3 :
”If it snows tonight, then I will stay at home”. This is a easy if ……. Then, statement
Given statement is : ”If it snows tonight, then I will stay at home”.The converse is “ If i stay at home, then it snow tonight “ .The contrapositive is “ If i don’t stay at home tonight, then it will not snowing “ .The inverse of given statement is “ If it doesn't snow tonight, then i will not stay at home “ .