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State the converse, contrapostive, and inverse of each of

Discrete Mathematics and Its Applications | 7th Edition | ISBN: 9780073383095 | Authors: Kenneth Rosen

Problem 28E Chapter 1.1

Discrete Mathematics and Its Applications | 7th Edition

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Discrete Mathematics and Its Applications | 7th Edition | ISBN: 9780073383095 | Authors: Kenneth Rosen

Discrete Mathematics and Its Applications | 7th Edition

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Problem 28E

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-by-Step Solution:

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 “ .

Step 4 of 5

Chapter 1.1, Problem 28E is Solved
Step 5 of 5

Textbook: Discrete Mathematics and Its Applications
Edition: 7
Author: Kenneth Rosen
ISBN: 9780073383095

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State the converse, contrapostive, and inverse of each of

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