document.write( "Question 1122800: Solve each inequality and graph its solution. 5-6|8n+8|>-91 Thanks! \n" ); document.write( "

Algebra.Com's Answer #738973 by ikleyn(52798) $\"\"$ $\"About$

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document.write( "5 - 6|8n+8| > -91   ====>  add  6|8n+8|  to both sides  ====>\r\n" );
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document.write( "5 > -91 + 6|8n+8|   ====>  add 91 to bot sides\r\n" );
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document.write( "5 + 91 > 6|8n+8|  ====>  rewrite it in this form\r\n" );
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document.write( "6|8n+8| < 96   ====>  divide both sides by 6  ====>\r\n" );
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document.write( "|8n+8| < 16  ====>  equivalent to\r\n" );
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document.write( "8*|n+1| < 16  ====>  divide both sides by 8  ====>\r\n" );
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document.write( "|n+1| < 2  ====> is equivalent to\r\n" );
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document.write( "|n - (-1)| < 2  ====>\r\n" );
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document.write( "the solutions to the last inequality are those values of n that are remoted from (-1) to the distance less than 2, i.e.\r\n" );
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document.write( "    (-1) - 2 < n < (-1) + 2,   which is equivalent to\r\n" );
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document.write( "    - 3 < n < 1.\r\n" );
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document.write( "It is your ANSWER:   - 3 < n < 1,  or, in the interval notation, the interval set  (-3,1).\r\n" );
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\n" ); document.write( "\n" ); document.write( "Any other solution is incorrect.\r
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\n" ); document.write( "\n" ); document.write( "The plot below visualize the solution for you.\r
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\n" ); document.write( "\n" ); document.write( "Plot y = |x+1| (red) and y = 2 (green).\r
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\n" ); document.write( "\n" ); document.write( "On solving inequalities, see introductory lessons\r
\n" ); document.write( "\n" ); document.write( "    - Solving simple and simplest linear inequalities \r
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\n" ); document.write( "\n" ); document.write( "in this site.   Especially lesson (*) of these two.\r
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