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# To prove that the statements p1, p2, p3, and p4 are ## Problem 12RQ Chapter 1.R

Discrete Mathematics and Its Applications | 7th Edition

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Problem 12RQ

To prove that the statements p1, p2, p3, and p4 are equivalent, is if sufficient to show that the conditional statements p4→p2,p3→p1,and p1→p2 are valid? If not, provide another collection of conditional statements that can be used to show that the four statements arc equivalent.

Step-by-Step Solution:

Step 1</p>

We have to show whether it is possible to say that the statements are equivalent by the conditional statements Step 2</p>

According to the law of SYLLOGISM, if the following statements are true

1)if A then B

2)if B then C

Then we can say that If A ,then C  is true.

Step 3</p>

We are given 3 statements …..(1) ……(2) …….(3)

Using the Law of Syllogism,we can derive the statement …(4)

from (2) and (3).

Step 4 of 5

Step 5 of 5

##### ISBN: 9780073383095

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To prove that the statements p1, p2, p3, and p4 are

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