document.write( "Question 232782: please help me slove this question .\r
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\n" ); document.write( "\n" ); document.write( "Construct a truth table for each compound statement.\r
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\n" ); document.write( "\n" ); document.write( "1-q ∨ (p ∧ ∼q) \r
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\n" ); document.write( "\n" ); document.write( "2- ∼q ∧ (∼ p ∨ ∼q)
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Algebra.Com's Answer #171936 by vleith(2983)\"\" \"About 
You can put this solution on YOUR website!
Let's do the first one, then you cna use the same technique to do the second one
\n" ); document.write( "Create a table that has 5 rows (one for the headings, one each for the combination of 0 and 1 for the variables p and q)
\n" ); document.write( "Then add an column for each 'term' in the given logical statement. In this case, you need p, q, ~q, (p^~q) and finally p v (p^~q). So you need 5 columns, as shown below. \r
\n" ); document.write( "\n" ); document.write( "Then add in the true/false (1/0) entries for p and q. Since there are two variables with two possible values, you have 2*2 total. Or 4 rows of info.\r
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\n" ); document.write( "\n" ); document.write( "p q ~q (p^~q) pv(p^~q)
\n" ); document.write( "0 0
\n" ); document.write( "1 0
\n" ); document.write( "1 0
\n" ); document.write( "1 1\r
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\n" ); document.write( "\n" ); document.write( "Now complete the ~q column, given the entered values for p and q\r
\n" ); document.write( "\n" ); document.write( "p q ~q (p^~q) pv(p^~q)
\n" ); document.write( "0 0 1
\n" ); document.write( "1 0 1
\n" ); document.write( "0 1 0
\n" ); document.write( "1 1 0 \r
\n" ); document.write( "\n" ); document.write( "Now complete the (p^~q) column, given the entered values for p and ~q\r
\n" ); document.write( "\n" ); document.write( "p q ~q (p^~q) pv(p^~q)
\n" ); document.write( "0 0 1 1
\n" ); document.write( "1 0 1 1
\n" ); document.write( "0 1 0 0
\n" ); document.write( "1 1 0 1 \r
\n" ); document.write( "\n" ); document.write( "Finally complete the pv(p^~q) column, given the entered values for p and (p^~q)\r
\n" ); document.write( "\n" ); document.write( "p q ~q (p^~q) pv(p^~q)
\n" ); document.write( "0 0 1 0 0
\n" ); document.write( "1 0 1 1 1
\n" ); document.write( "0 1 0 0 0
\n" ); document.write( "1 1 0 0 1\r
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\n" ); document.write( "\n" ); document.write( "Here's a nice URL for truth tables http://www.brian-borowski.com/Software/Truth/
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