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 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).