document.write( "Question 1156720: 5x-19< or equal to 1 OR -4x+3<-6
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\n" ); document.write( "X> or equal to 4
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Algebra.Com's Answer #779495 by ikleyn(52809)\"\" \"About 
You can put this solution on YOUR website!
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\n" ); document.write( "\n" ); document.write( "            This problem is of great educational value and of great educational importance.\r
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\n" ); document.write( "\n" ); document.write( "            The solution by the other tutor  (in its final part) is  INCORRECT,\r
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\n" ); document.write( "\n" ); document.write( "            so I came to bring the correct version.\r
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document.write( "You are given a system of inequalities\r\n" );
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document.write( "    5x - 19 <= 1   OR   -4x + 3 < -6.\r\n" );
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document.write( "It consists of two inequalities, connected by a service word \" OR \".\r\n" );
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document.write( "It means that you should solve EACH inequality SEPARATELY, and then the solution to this SYSTEM of inequalities\r\n" );
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document.write( "is the UNION of the solution sets to each separate inequalities.\r\n" );
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document.write( "The first inequality and its solution are\r\n" );
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document.write( "    5x - 19 <= 1  ===>  5x <= 1 + 19 ===>  5x <= 20  ===>  x <= 20/5  ===> x <= 4.\r\n" );
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document.write( "The second inequality and its solution are\r\n" );
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document.write( "    -4x + 3 < -6 ===>  3 + 6 < 4x  ===>  9 < 4x  ====  x > \"9%2F4\".\r\n" );
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document.write( "So, the solution sets are  x<= 4 for the first inequality and  x > \"9%2F4\" for the second inequality.\r\n" );
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document.write( "The solution set for the SYSTEM with the service word \" OR \" is the UNION of these two sets.\r\n" );
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document.write( "But, as it is OBVIOUS, the UNION covers the ENTIRE SET of ALL REAL numbers.\r\n" );
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document.write( "Therefore, the ANSWER to the problem's question is THIS :\r\n" );
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document.write( "    the solution to the given system is the ENTIRE SET of ALL REAL numbers.\r\n" );
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\n" ); document.write( "\n" ); document.write( "On this subject, see the lessons\r
\n" ); document.write( "\n" ); document.write( "    - Solving systems of linear inequalities in one unknown \r
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\n" ); document.write( "\n" ); document.write( "Also,  you have this free of charge online textbook in ALGEBRA-I in this site\r
\n" ); document.write( "\n" ); document.write( "    - ALGEBRA-I - YOUR ONLINE TEXTBOOK.\r
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\n" ); document.write( "\n" ); document.write( "The referred lessons are the part of this online textbook under the topic  \"Inequalities\".\r
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\n" ); document.write( "\n" ); document.write( "Save the link to this online textbook together with its description\r
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\n" ); document.write( "\n" ); document.write( "Free of charge online textbook in ALGEBRA-I
\n" ); document.write( "https://www.algebra.com/algebra/homework/quadratic/lessons/ALGEBRA-I-YOUR-ONLINE-TEXTBOOK.lesson\r
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\n" ); document.write( "\n" ); document.write( "to your archive and use it when it is needed.\r
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