document.write( "Question 263274: 7. Let p represent a true statement, while q and r represent false statements. Find the truth value of the compound statement.\r
\n" ); document.write( "\n" ); document.write( "[(~q V r) Λ~p]
\n" ); document.write( " (Points :3)
\n" ); document.write( " True
\n" ); document.write( " False
\n" ); document.write( "i picked true
\n" ); document.write( "

Algebra.Com's Answer #194015 by mducky2(62)\"\" \"About 
You can put this solution on YOUR website!
Let's put this into words and simplify it. We know that V = or, ~ = not, and Λ = and.
\n" ); document.write( "[(~q V r) Λ~p]
\n" ); document.write( "[((not q) or r) and not p]

\n" ); document.write( "Now let's plug in true (T) or false (F) for all the letters. According to the problem, p = T, q = F, and r = F.
\n" ); document.write( "[((not q) or r) and not p]
\n" ); document.write( "[((not F) or F) and not T]

\n" ); document.write( "We can simplify this down by replacing \"not F\" with \"T\" and \"not T\" with \"F\".
\n" ); document.write( "[((not F) or F) and not T]
\n" ); document.write( "[(T or F) and F]

\n" ); document.write( "For \"or\" equations, the equation is true if either one is true. Since one is true, it becomes T.
\n" ); document.write( "[(T or F) and F]
\n" ); document.write( "[T and F]

\n" ); document.write( "For \"and\" equations, the equation is true only if both are true. Since one is not true, it becomes F.
\n" ); document.write( "[F]

\n" ); document.write( "The answer is false.
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