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\n" ); document.write( "Eight less than the product of -3 and a number is greater than -26.
\n" ); document.write( "Translate into an equation:
\n" ); document.write( "\"Eight less than...\" --> ____ -8
\n" ); document.write( "\"Eight less than the product of -3 and a number...\" --> -3x-8
\n" ); document.write( "\"Eight less than the product of -3 and a number is greater than -26\" --> -3x-8>-26
\n" ); document.write( "The other tutor does what nearly everybody else does -- leave the x term on the left. That leads to solving the inequality by dividing both sides by a negative number, which switches the direction of the inequality. No matter how experienced you are, it is easy to forget to change the direction when dividing by a negative.
\n" ); document.write( "So avoid having to divide by a negative by rearranging the inequality so the sign on the x term is positive:
\n" ); document.write( "-3x-8>-26
\n" ); document.write( "-8>3x-26
\n" ); document.write( "18>3x
\n" ); document.write( "6>x --> x<6
\n" ); document.write( " \n" ); document.write( "