document.write( "Question 1119764: Hi, I need some help understanding this absolute value inequality function. I don't understand why the answer says 'x' is not a real number. \r
\n" ); document.write( "\n" ); document.write( "\"-5|x-3|-5<15\".\r
\n" ); document.write( "\n" ); document.write( "I worked it out and I thought the solution was x<-1 or x>7 but it wasn't correct according to the answer. Could you please help me? Thank you! \n" ); document.write( "

Algebra.Com's Answer #735362 by ikleyn(52787) $\"\"$ $\"About$

You can put this solution on YOUR website!
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document.write( "    -5|x-3|-5 < 15.\r\n" );
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document.write( "Add 5 to both sides of this inequality. You will get an EQUIVALENT inequality\r\n" );
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document.write( "    -5|x-3| < 20.\r\n" );
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document.write( "Divide by (-5) both sides of the last inequality. You will get an EQUIVALENT inequality\r\n" );
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document.write( "     |x-3| > -4.    (Notice the inequality sign changed its direction !)\r\n" );
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document.write( "Since the absolute value function is non-negative for any of its argument, the solution set for the last inequality \r\n" );
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document.write( "is the set of ALL REAL NUMBERS.\r\n" );
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document.write( "Plot y = -5|x-3|-5 (red)  and y =  15 (green)\r\n" );
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\n" ); document.write( "\n" ); document.write( "Solved.\r
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\n" ); document.write( "\n" ); document.write( "Be aware: The solution and the answer by @josgarithmetic \" $\"highlight%28-1%3Cx%3C7%29\"$ \" is T O T A L L Y W R O N G,\r
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\n" ); document.write( "\n" ); document.write( "so for your safety simply ignore it.\r
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\n" ); document.write( "\n" ); document.write( "This person does not know basics.\r
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