State the converse, contrapositive, and inverse of each of these conditional statements. a.) If it rains tonight, then I will stay at home. Converse: Contrapositive: Inverse: b.) I climb mountains whenever it is a sunny summer day. Converse: Contrapositive: Inverse: c.) When I stay up late, it is necessary that I sleep until noon. Converse: Contrapositive: Inverse:

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter2: The Integers
Section2.3: Divisibility
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5. State the converse, contrapositive, and inverse of each of these conditional
statements.

a.) If it rains tonight, then I will stay at home.
Converse:
Contrapositive:
Inverse:


b.) I climb mountains whenever it is a sunny summer day.
Converse:
Contrapositive:
Inverse:


c.) When I stay up late, it is necessary that I sleep until noon.
Converse:
Contrapositive:
Inverse:

d.) I come to class whenever there is going to be a quiz.
Converse:
Contrapositive:
Inverse:

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