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)![]() ![]() ![]() 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. \n" ); document.write( " |