document.write( "Question 919156: Please help. Graph the solution set of 2x+4<12 and -3(x+4)<32 on a number line. Thanks for your help. \n" ); document.write( "
Algebra.Com's Answer #557503 by AnlytcPhil(1807)\"\" \"About 
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document.write( "2x+4 < 12 and -3(x+4) < 32\r\n" );
document.write( "  -4   -4      -3x-12 < 32\r\n" );
document.write( "---------         +12  +12\r\n" );
document.write( "2x   <  8      -----------  \r\n" );
document.write( " x   <  4      -3x    < 42\r\n" );
document.write( "                 x    > -14   <---reversing inequality since\r\n" );
document.write( "                                  we divided both sides by a\r\n" );
document.write( "                                  negative number, -3\r\n" );
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document.write( "So we wind up with x < 4 and x > -4\r\n" );
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document.write( "We turn the second inequality around as -4 < x and we have:\r\n" );
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document.write( "        -4 < x  and x < 4\r\n" );
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document.write( "Which we can write with x in the middle as\r\n" );
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document.write( "           -4 < x < 4\r\n" );
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document.write( "On the number line, we have\r\n" );
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document.write( "----------o=======================o---------\r\n" );
document.write( "-7 -6 -5 -4 -3 -2 -1  0  1  2  3  4  5  6  7\r\n" );
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document.write( "Edwin
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