document.write( "Question 1203082: Solve for x, assuming a, b and c are negative constants.\r
\n" ); document.write( "\n" ); document.write( "(a) ax + b < c\r
\n" ); document.write( "\n" ); document.write( "(b) (ax +b)/c < or = b \n" ); document.write( "

Algebra.Com's Answer #838342 by ikleyn(52797) $\"\"$ $\"About$

You can put this solution on YOUR website!
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\n" ); document.write( "Solve for x, assuming a, b and c are negative constants.\r
\n" ); document.write( "\n" ); document.write( "(a) ax + b < c\r
\n" ); document.write( "\n" ); document.write( "(b) (ax +b)/c <= b
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document.write( "(a)     Step by step\r\n" );
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document.write( "    Starting inequality to solve is \r\n" );
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document.write( "        ax + b < c.\r\n" );
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document.write( "    Subtract \"b\" from both side.  You will get\r\n" );
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document.write( "        ax < c - b.\r\n" );
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document.write( "    Divide both sides by \"a\".  Since \"a\" is negative (given), change the sign \r\n" );
document.write( "    of the inequality to the opposite one.  You will get\r\n" );
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document.write( "        x > .    ANSWER\r\n" );
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document.write( "(b)       Step by step \r\n" );
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document.write( "     Starting inequality is \r\n" );
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document.write( "          <= b.\r\n" );
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document.write( "     Multiply both sides by \"c\".  Since \"c\" is negative number, change the sign of the inequality \r\n" );
document.write( "     to the opposite one.  You will get\r\n" );
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document.write( "          ax + b >= bc.\r\n" );
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document.write( "     Next, subtract \"b\" from both sides of the last inequality.  You will get\r\n" );
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document.write( "          ax >= bc - b.\r\n" );
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document.write( "     Now divide both sides by \"a\".  Since \"a\" is negative number, change the sign of the inequality \r\n" );
document.write( "     to the opposite one.  You will get\r\n" );
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document.write( "          x <=  = .\r\n" );
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document.write( "     Answer.  x <= ,  or, equivalently, x <= .\r\n" );
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\n" ); document.write( "\n" ); document.write( "Solved in full, with explanations.\r
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\n" ); document.write( "\n" ); document.write( "In writing Math, do not use this mixed combination of words and symbols \" < or = \",
\n" ); document.write( "as it was in your post originally (before I fixed it).\r
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\n" ); document.write( "\n" ); document.write( "Instead, use the symbol \" <= \".\r
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