document.write( "Question 832111: I have two questions:
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document.write( "1. -8f < 48\r
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document.write( "2.128/-g < 4 \n" );
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Algebra.Com's Answer #501856 by math-vortex(648) You can put this solution on YOUR website! \r\n" ); document.write( "Hi, there--\r\n" ); document.write( "\r\n" ); document.write( "THE PROBLEM:\r\n" ); document.write( "Solve for f:\r\n" ); document.write( "-8f < 48\r\n" ); document.write( "\r\n" ); document.write( "A SOLUTION:\r\n" ); document.write( "We solve inequalities using very similar rules to those for solving equations. One BIG difference:\r\n" ); document.write( "When you divide both sides on an inequality by a negative number, the direction of the inequality must \r\n" ); document.write( "change. In this case.\r\n" ); document.write( "\r\n" ); document.write( "Divide both sides of the inequality by -8 to isolate the variable.\r\n" ); document.write( "-8f/-8 > 48/-8\r\n" ); document.write( "\r\n" ); document.write( "Simplify.\r\n" ); document.write( "f > -6\r\n" ); document.write( "\r\n" ); document.write( "In other words, any number greater than -6 will make the inequality true.\r\n" ); document.write( "\r\n" ); document.write( "Try f = -5.\r\n" ); document.write( "-8f < 48\r\n" ); document.write( "-8(-5) < 48\r\n" ); document.write( "40 < 48\r\n" ); document.write( "TRUE\r\n" ); document.write( "\r\n" ); document.write( "Try f = 0.\r\n" ); document.write( "-8f < 48\r\n" ); document.write( "-8(0) < 48\r\n" ); document.write( "0 < 48\r\n" ); document.write( "TRUE.\r\n" ); document.write( "\r\n" ); document.write( "What is we pick a number less than or equal to -6. It will not make the inequality true.\r\n" ); document.write( "Let f = -6\r\n" ); document.write( "-8f < 48\r\n" ); document.write( "-8(-6) < 48\r\n" ); document.write( "48 < 48\r\n" ); document.write( "FALSE\r\n" ); document.write( "\r\n" ); document.write( "Try f = -10.\r\n" ); document.write( "-8f < 48\r\n" ); document.write( "-8(-10) < 48\r\n" ); document.write( "80 < 48\r\n" ); document.write( "Also FALSE.\r\n" ); document.write( "\r\n" ); document.write( "Hope this helps! Feel free to email if you have any questions about the solution.\r\n" ); document.write( "\r\n" ); document.write( "Good luck with your math,\r\n" ); document.write( "\r\n" ); document.write( "Mrs. F\r\n" ); document.write( "math.in.the.vortex@gmail.com\r\n" ); document.write( "\n" ); document.write( " |