Question 1207462
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I'll do the first problem to get you started. 
Please post <u>one</u> question at a time. Also, please be careful to make sure that the problem appears exactly as shown in your textbook. Question 2 for instance looks like it's missing some symbols.


<table border = "1" cellpadding = "5"><tr><td>Number</td><td>Statement</td><td>Line(s) Used</td><td>Reason</td></tr><tr><td>1</td><td>T > O</td><td></td><td></td></tr><tr><td>2</td><td>R v ~O</td><td></td><td></td></tr><tr><td>3</td><td>~R</td><td></td><td></td></tr><tr><td>:.</td><td>~T</td><td></td><td></td></tr><tr><td>4</td><td>~O</td><td>2,3</td><td>Disjunctive Syllogism</td></tr><tr><td>5</td><td>~T</td><td>1,4</td><td>Modus Tollens</td></tr></table>

The Rules of Inference and Rules of Replacement are shown <a href="https://www.algebra.com/algebra/homework/Conjunction/logic-rules-of-inference-and-replacement.lesson">here</a>
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