Question 201378
You have the correct symbolic translation, but normally you spell out EVERYTHING so you are perfectly clear. So the translation of "(p v q) --> r " would be:



"IF <u>Verizon Wireless must remove installed equipment from a vehicle</u> OR <u>Verizon Wireless must remove installed equipment from a fixed location</u>, THEN <u>you will be charged a service fee</u>"




Note: the underlined parts were cut and pasted from the given statements (so you can see that the statement is really "IF p OR q, THEN r" in symbolic form)





So here's the truth table:


<table border=1 cellpadding=10><tr><th>p</th><th>q</th><th>r</th><th>p v q</th><th>(p v q) -> r</th></tr><tr><td>T</td><td>T</td><td>T</td><td>T</td><td>T</td></tr><tr><td>T</td><td>T</td><td>F</td><td>T</td><td>F</td></tr><tr><td>T</td><td>F</td><td>T</td><td>T</td><td>T</td></tr><tr><td>T</td><td>F</td><td>F</td><td>T</td><td>F</td></tr><tr><td>F</td><td>T</td><td>T</td><td>T</td><td>T</td></tr><tr><td>F</td><td>T</td><td>F</td><td>T</td><td>F</td></tr><tr><td>F</td><td>F</td><td>T</td><td>F</td><td>T</td></tr><tr><td>F</td><td>F</td><td>F</td><td>F</td><td>T</td></tr></table>



Note: you'll normally see it in this format



If you aren't familiar with that format, then stick with your table. You did a good job with the table, BUT the last truth value in the bottom row should be T



<pre>

           p: T T T T F F F F
           q: T T F F T T F F 
           r: T F T F T F T F

     (p v q): T T T T T T F F 
(p v q) -> r: T F T F T F T <font color=red>T </font>

</pre>