document.write( "Question 1194664: Question #1
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Algebra.Com's Answer #826908 by ikleyn(52908)\"\" \"About 
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document.write( "a) Solution for compound inequality x > 1 and x > 4 is the INTERSECTION\r\n" );
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document.write( "   of partial solution sets  {x > 1}  and  {x > 4}, which (intersection) is the set  {x > 4}.\r\n" );
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document.write( "b) Solution for compound inequality x > 1 or x > 4 is the UNION\r\n" );
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document.write( "   of partial solution sets  {x > 1}  and  {x > 4}, which (union) is the set  {x 1 4}.\r\n" );
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document.write( "The difference between the first system of inequalities and the second system of inequalities is in the used service word.\r\n" );
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document.write( "In the first system, the service word is \"and\", and it prescribes to use the intersection of partial solutions.\r\n" );
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document.write( "In the second system, the service word is \"or\", and it prescribes to use the union of partial solutions.\r\n" );
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\n" ); document.write( "\n" ); document.write( "On solving systems of inequalities and compound inequalities,  see the lessons\r
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