(a) Suppose that , and r s are all true, but s is false.

Chapter 0, Problem C.1.24

(choose chapter or problem)

(a) Suppose that \(p \rightarrow q, q \rightarrow r, \text { and } r \rightarrow s\) are all true, but s is false. What can you conclude about the truth value of p?

(b) Suppose that \((p \wedge q) \rightarrow r\) is true, r is false, and q is true. What can you conclude about the truth value of p?

(c) Suppose that \(p \rightarrow q\) is true and \(q \rightarrow p\) is false. Can q be true? Why or why not?

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