document.write( "Question 1094222: Solve the absolute value inequality. Write interval notation for the solution set.\r
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Algebra.Com's Answer #708856 by ikleyn(52803) $\"\"$ $\"About$

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\n" ); document.write( "If you want to write \"absolute value inequality\", then do not use brackets [ ] instead of absolute value sign.\r
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\n" ); document.write( "\n" ); document.write( "Use |7-5x| >= 15.\r
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\n" ); document.write( "\n" ); document.write( "If it is what you want, then confirm please.\r
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\n" ); document.write( "\n" ); document.write( "comment from student: Yes, this is what I was trying to write.\r
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\n" ); document.write( "\n" ); document.write( "My response. OK. So, I will explain you how to solve an inequality\r
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\n" ); document.write( "\n" ); document.write( "|7-5x| >= 15\r
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document.write( "Divide both sides by 5. You will get an equivalent inequality\r\n" );
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document.write( "|7/5 - x| >= 3.\r\n" );
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document.write( "Its solutions are those \"x\" that are remoted at least in 3 units from the point  on the number line.\r\n" );
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document.write( "So, the solution set is  x <=   and  x >= ,  or, which is the same,\r\n" );
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document.write( "x <=    and   x >=  .\r\n" );
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document.write( "Answer.  The solution set is the union of two intervals [-infinity,-1.6] U [4.4,infinity]  on the number line.\r\n" );
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\n" ); document.write( "\n" ); document.write( "Solved.\r
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