Loose-Leaf Version for Calculus: Early Transcendentals Single Variable
Loose-Leaf Version for Calculus: Early Transcendentals Single Variable
4th Edition
ISBN: 9781319312886
Author: Rogawski, Jon, Adams, Colin, FRANZOSA, Robert
Publisher: W. H. Freeman
Question
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Chapter A, Problem 1PQ
To determine

Which is the contrapositive of AB?

(a)BA    (b)~BA

(c)~B~A     (d)~~ B

Expert Solution & Answer
Check Mark

Answer to Problem 1PQ

Solution:

Correct option is (c)

Explanation of Solution

Given:

AB (A conditional statement)

Options are:

(a)BA    (b)~BA

(c)~B~A     (d)~~ B

Definition:

The statement (~q)(~p) is called the contrapositive of the statement pq.

So, the contrapositive of AB is (~B)(~A)

Hence correct option is c.

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