Question 1190252
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B = Ted will get a Big Mac
W = Ted will get a Whopper with cheese
~W = Ted will not get a Whopper with cheese


Premise 1: B v W
Premise 2: ~W
Conclusion: B


Truth Table<table border = "1" cellpadding = "5"><tr><td></td><td></td><td>Premise 1</td><td>Premise 2</td><td>Conclusion</td></tr><tr><td>B</td><td>W</td><td>B v W</td><td>~W</td><td>B</td></tr><tr><td>T</td><td>T</td><td>T</td><td>F</td><td>T</td></tr><tr><td>T</td><td>F</td><td>T</td><td>T</td><td>T</td></tr><tr><td>F</td><td>T</td><td>T</td><td>F</td><td>F</td></tr><tr><td>F</td><td>F</td><td>F</td><td>T</td><td>F</td></tr></table>Notes:<ul><li>B v W is only false when both B and W are false; otherwise, its true.</li><li>The first and last column are identical copies of each other</li><li>The ~W column is the flipped version of the W column</li></ul>Now look through the table and see if there are any situations where we have all true premises which lead to a false conclusion. No such thing happens.
Row two has all true premises, and those true premises lead to a true conclusion.
We ignore any rows with at least one false premise.


Since we couldn't find any rows that had all true premises leading to a false conclusion, this means that <font color=red>the argument is valid</font>
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