Answer to Question #284549 in Math for Leyahhhh

Question #284549

Answer the following items. Show your complete solution on a separate sheet of paper.



1.Let a and b be real numbers and let p, q, and r denote the following sentences:



Indicate whether each of the following compound sentences yields a true or false statement (A) when x = 2; (B) when x = -2.



a. p ↔ q


b.. p ↔ r


c. r → p


d. p →r


e.q ↔ r


f. q → p


g. r → q


h. q →r


What can you say about each of the above expressions a – h when x = 0?



2.Which of the above sentences in No. 1 become implications and which of them become equivalences, if the admissible values for x are:


a. all positive real numbers?


b.All negative real numbers?


C All real numbers?



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