document.write( "Question 596469: what is the solution set for absolute |3x+6} ≦ 30? \n" ); document.write( "

Algebra.Com's Answer #377769 by Edwin McCravy(20060) $\"\"$ $\"About$

You can put this solution on YOUR website!

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document.write( "|3x+6| ≦ 30\r\n" );
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document.write( "Re-write as\r\n" );
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document.write( "-30 ≦ 3x+6 ≦ 30\r\n" );
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document.write( "Solve for x in the middle:\r\n" );
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document.write( "-30 ≦ 3x+6 ≦ 30\r\n" );
document.write( " -6     -6    -6\r\n" );
document.write( "----------------\r\n" );
document.write( "-36 ≦ 3x   ≦ 24\r\n" );
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document.write( " ≦  ≦ \r\n" );
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document.write( "-12  ≦ x ≦ 8\r\n" );
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document.write( "-------⚫===========⚫-------\r\n" );
document.write( "     -12           8\r\n" );
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document.write( "         [-12,8]\r\n" );
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document.write( "------------------------------------\r\n" );
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document.write( "Here'a how you would have done the problem if it had had ≧ instead of ≦.\r\n" );
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document.write( "|3x+6| ≧ 30\r\n" );
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document.write( "Re-write as\r\n" );
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document.write( "3x+6 ≦ -30  OR  3x+6 ≧ 30\r\n" );
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document.write( "Solve each part for x:\r\n" );
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document.write( "3x+6 ≦ -30  OR  3x+6 ≧ 30\r\n" );
document.write( "  -6    -6        -6    -6\r\n" );
document.write( "----------      ----------\r\n" );
document.write( "3x   ≦ -36  OR  3x   ≧ 24\r\n" );
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document.write( "   ≦  OR  ≧     \r\n" );
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document.write( "   x ≦ -12  OR x ≧ 8\r\n" );
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document.write( "<======⚫----------⚫=======>\r\n" );
document.write( "     -12           8\r\n" );
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document.write( "(,-12] U [8,)\r\n" );
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document.write( "Edwin

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