document.write( "Question 1209100: Solve the inequality -4(x + 4) > x + 7. Give your answer as an interval. \n" ); document.write( "

Algebra.Com's Answer #847677 by ikleyn(52781) $\"\"$ $\"About$

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\n" ); document.write( "Solve the inequality -4(x + 4) > x + 7. Give your answer as an interval.
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document.write( "The starting inequality is\r\n" );
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document.write( "    -4(x+4) > x + 7.\r\n" );
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document.write( "Open parentheses\r\n" );
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document.write( "    -4x - 16 < x + 7.\r\n" );
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document.write( "Add 4x to both sides.  You will get\r\n" );
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document.write( "    -4x - 16 + 4x < x + 7 + 4x,  or\r\n" );
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document.write( "    -16 < 5x + 7.\r\n" );
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document.write( "Now subtract 7 from both sides.  You will get\r\n" );
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document.write( "    -16 - 7 < 5x,\r\n" );
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document.write( "    - 23 < 5x.\r\n" );
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document.write( "Divide both sides by 5.  You will get\r\n" );
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document.write( "     < x,  or  x > .\r\n" );
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document.write( "It determines the solution set.\r\n" );
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document.write( "In the interval form is  (,).    ANSWER\r\n" );
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\n" ); document.write( "\n" ); document.write( "The standard solution procedure is collecting the terms with the unknown
\n" ); document.write( "in one side of the inequality and collecting constant terms in the other side;
\n" ); document.write( "then combining the like terms in each side and expressing the unknown variable in form of inequality.\r
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