document.write( "Question 1150981: conditional statement: If Mary lives in Chicago,then she lives in Illinois.
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\n" ); document.write( "my answer: If Mary lives in Illinois, then she lives in Chicago
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Algebra.Com's Answer #772555 by ikleyn(52781) $\"\"$ $\"About$

You can put this solution on YOUR website!
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document.write( "Given an if-then statement \"if p , then q\", the CONVERSE statement is \"if q, then p\".\r\n" );
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document.write( "In your case, the converse statement to the given one is \r\n" );
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document.write( "      If Mary lives in Chicago, then she lives in Illinois.\r\n" );
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document.write( "So, you correctly made the required transformation.\r\n" );
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document.write( "Note, that although the given statement is correct (is TRUE), the converse statement in your case is NOT TRUE, i.e. is FALSE.\r\n" );
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document.write( "It is not always the converse statement to the given statement is true, even if the direct (the original) statement is true.\r\n" );
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document.write( "It is exactly the case with your original and converse statement.\r\n" );
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document.write( "When the direct and the converse statements are both TRUE, they called EQUIVALENT statements.\r\n" );
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document.write( "For example, this direct statement\r\n" );
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document.write( "    If a triangle is isosceles, it has congruent base angles\r\n" );
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document.write( "is EQUIVALENT to its converse statement\r\n" );
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document.write( "     If a triangle has congruent base angles, it is isosceles.\r\n" );
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document.write( "Not every direct statement is equivalent to its converse statement (!)\r\n" );
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