document.write( "Question 1175662: Use the sentence \" If it is not raining then I will walk to [the park]:
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document.write( "A. write the inverse
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document.write( "B. Write the converse \n" );
document.write( "
Algebra.Com's Answer #801308 by Edwin McCravy(20056)![]() ![]() You can put this solution on YOUR website! \r\n" ); document.write( " (Original) conditional: if p then q\r\n" ); document.write( " converse of conditional: if q then p [swap order]\r\n" ); document.write( " inverse of conditional: if ~p then ~q [keep order, negate both]\r\n" ); document.write( "contrapositive of conditional: if ~q then ~p [swap order, negate both]\r\n" ); document.write( "\r\n" ); document.write( "\" If it is not raining then I will walk to the park. \r\n" ); document.write( "\r\n" ); document.write( "R = it is raining\r\n" ); document.write( "W = I will walk to the park\r\n" ); document.write( "\r\n" ); document.write( " (Original) conditional: if ~R then W\r\n" ); document.write( " converse of conditional: if W then ~R [swap order, do not negate] \r\n" ); document.write( " inverse of conditional: if R then ~W [keep order, negate both]\r\n" ); document.write( "contrapositive of conditional: if ~W then R [keep order, negate both]\r\n" ); document.write( "\r\n" ); document.write( "-----------------\r\n" ); document.write( "A. write the inverse \r\n" ); document.write( "\r\n" ); document.write( "[keep order, negate both]\r\n" ); document.write( "\r\n" ); document.write( "if R then ~W: \" If it is raining, then I will not walk to the park.\"\r\n" ); document.write( "B. Write the converse \r\n" ); document.write( "[swap order, do not negate]\r\n" ); document.write( "\r\n" ); document.write( "if W then ~R: \" If I (end up) walk(ing) to the park, then it (must) not (have\r\n" ); document.write( "been) raining.\r\n" ); document.write( "\r\n" ); document.write( "Sometimes you have to insert and/or omit a word or two to make the grammar\r\n" ); document.write( "correct. It would sound funny to say \"If I walk to the park, then it is not\r\n" ); document.write( "raining.\" People just don't talk that way. But upon careful analysis, it does\r\n" ); document.write( "mean \" If I do end up walking to the park, then it must not have been raining.\"\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Or you might word it \" \" If I do end up walking to the park, then you will be\r\n" ); document.write( "sure that it is not raining.\"\r\n" ); document.write( "\r\n" ); document.write( "Edwin\n" ); document.write( " |