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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