document.write( "Question 936353: \"If Jerrod is in 11th grade then Jerrod is in high school.\"
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Algebra.Com's Answer #569855 by AnlytcPhil(1810) $\"\"$ $\"About$

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\"If Jerrod is in 11th grade then Jerrod is in high school.\"
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document.write( "Let p = the words between \"If\" and \"then\".\r\n" );
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document.write( "So p = \"Jerrod is in 11th grade.\"\r\n" );
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document.write( "Let q = the words after \"then\".\r\n" );
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document.write( "So q = \"Jerrod is in high school.\"\r\n" );
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document.write( "So the given statement:\r\n" );
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document.write( "\"if Jerrod is in 11th grade then Jerrod is in high school.\"\r\n" );
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document.write( "can be abbreviated as \r\n" );
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document.write( "\"If p then q.\"\r\n" );
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document.write( "Learn these rules:     [to \"negate\" means to make a statement false by\r\n" );
document.write( "                        inserting \"not\"]      \r\n" );
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document.write( "Original statement:        if p then q          [given]     \r\n" );
document.write( "Converse statement:        if q then p          [swap, but don't negate]\r\n" );
document.write( "Inverse statement:         if not p then not q  [negate but don't swap]\r\n" );
document.write( "Contrapositive statement:  if not q then not p  [negate and swap] \r\n" );
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document.write( "Start with the original statement:\r\n" );
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document.write( "\"if Jerrod is in 11th grade then Jerrod is in high school.\"\r\n" );
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document.write( "Swap them, but don't negate them to create the converse:\r\n" );
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document.write( "\"if Jerrod is in high school then Jerrod is in 11th grade.\"\r\n" );
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document.write( "------------------------\r\n" );
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document.write( "Start with the original statement:\r\n" );
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document.write( "\"if Jerrod is in 11th grade then Jerrod is in high school.\"\r\n" );
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document.write( "Negate them, but don't swap them to create the inverse:\r\n" );
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document.write( "\"if Jerrod is NOT in 11th grade then Jerrod is NOT in high school.\"\r\n" );
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document.write( "------------------------\r\n" );
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document.write( "Start with the original statement:\r\n" );
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document.write( "\"if Jerrod is in 11th grade then Jerrod is in high school.\"\r\n" );
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document.write( "Swap them and negate them to create the contrapositive:\r\n" );
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document.write( "\"if Jerrod is NOT in high school then Jerrod is NOT in 11th grade.\"\r\n" );
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document.write( "Converse       -- swap, but don't negate\r\n" );
document.write( "Inverse        -- negate, but don't swap\r\n" );
document.write( "Contrapositive -- swap and negate\r\n" );
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document.write( "If the original statement is true, then so is the contrapositive.\r\n" );
document.write( "If the original statement is false, then so is the contrapositive.\r\n" );
document.write( "If the inverse statement is true, then so is the converse.\r\n" );
document.write( "If the inverse statement is false, then so is the converse.\r\n" );
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document.write( "Edwin

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