document.write( "Question 184165: write the converse, inverse and, contrapositive of the folowing. If we have a rock concert, someone will faint.\r
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document.write( "I have no Ideas about this can you help please \n" );
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Algebra.Com's Answer #138188 by jim_thompson5910(35256)![]() ![]() ![]() You can put this solution on YOUR website! Let P=we have a rock concert and Q=Someone will faint\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Original Statement: \"If we have a rock concert, someone will faint.\" translates to if P then Q\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Converse: Simply switch P and Q to get: if Q then P\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "So the converse is: \"If someone will faint, then we have a rock concert\"\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "------------------\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Inverse: Take the original statement \"if P then Q\" and change it to \"if NOT P then NOT Q\" (ie negate everything)\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "So the inverse is: \"If we don't have a rock concert, then someone will not faint\"\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "--------------------\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Finally, contrapositive: Take the converse \"if Q then P\" and negate everything to get \"if NOT Q then NOT P\"\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "So the contrapositive is: \"If someone will not faint, then we don't have a rock concert\" \n" ); document.write( " |