document.write( "Question 1196323: Solve and write interval notation for the solution set. Then graph the solution set.
\n" ); document.write( "2x - 10 < - 1.4 or 2x-10 > 1.4 \n" ); document.write( "

Algebra.Com's Answer #829105 by ikleyn(52814) $\"\"$ $\"About$

You can put this solution on YOUR website!
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document.write( "In this problem, you have two inequalities connected with the service word \" OR \".\r\n" );
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document.write( "It means that the solution to the given system of inequalities is the UNION of solution sets for separate inequalities.\r\n" );
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document.write( "First inequality\r\n" );
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document.write( "    2x - 10 < - 1.4\r\n" );
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document.write( "implies\r\n" );
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document.write( "    2x < - 1.4 + 10  --->  2x <  8.6  --->  x < 8.6/2 = 4.3.\r\n" );
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document.write( "Second inequality\r\n" );
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document.write( "    2x - 10 > 1.4\r\n" );
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document.write( "implies\r\n" );
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document.write( "    2x > 1.4 + 10  --->  2x >  11.4  --->  x > 11.4/2 = 5.7.\r\n" );
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document.write( "Therefore, the solution of the system is the union  (-oo,4.3) U (5.7,oo).\r\n" );
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document.write( "                          The plot is shown below\r\n" );
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document.write( "     =========================|==========|===)------|-------(===|==============\r\n" );
document.write( "     -oo                      0          4          5           6           +oo\r\n" );
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document.write( "The solution set is shown in bold.\r\n" );
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document.write( "Some parts of the plot are in scale; other parts are not.\r\n" );
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