document.write( "Question 389529: Can you please help me on this question....\r
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document.write( "|-2x - 4| < 12\r
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document.write( "If x represents positive amounts in kilograms, what is the solution set?\r
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document.write( "Only positive integer solutions to the equation can be used and accepted.
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document.write( "How does this change the answer to the first question? Explain. \n" );
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Algebra.Com's Answer #276026 by haileytucki(390)![]() ![]() You can put this solution on YOUR website! See if this helps you out a little\r \n" ); document.write( "\n" ); document.write( "|-2x-4|<12\r \n" ); document.write( "\n" ); document.write( "Remove the absolute value term. This creates a \ on the right-hand side of the equation because |x|=\x. \n" ); document.write( "-2x-4<\(12)\r \n" ); document.write( "\n" ); document.write( "Set up the + portion of the \ solution. \n" ); document.write( "-2x-4<12\r \n" ); document.write( "\n" ); document.write( "Move all terms not containing x to the right-hand side of the inequality. \n" ); document.write( "-2x<16\r \n" ); document.write( "\n" ); document.write( "Divide each term in the inequality by -2. \n" ); document.write( "x>-8\r \n" ); document.write( "\n" ); document.write( "Set up the - portion of the \ solution. When solving the - portion of an inequality, flip the direction of the inequality sign. \n" ); document.write( "-2x-4>-(12)\r \n" ); document.write( "\n" ); document.write( "Multiply -1 by the 12 inside the parentheses. \n" ); document.write( "-2x-4>-12\r \n" ); document.write( "\n" ); document.write( "Since -4 does not contain the variable to solve for, move it to the right-hand side of the inequality by adding 4 to both sides. \n" ); document.write( "-2x>4-12\r \n" ); document.write( "\n" ); document.write( "Subtract 12 from 4 to get -8. \n" ); document.write( "-2x>-8\r \n" ); document.write( "\n" ); document.write( "Divide each term in the inequality by -2. \n" ); document.write( "-(2x)/(-2)<-(8)/(-2)\r \n" ); document.write( "\n" ); document.write( "Simplify the left-hand side of the inequality by canceling the common factors. \n" ); document.write( "x<-(8)/(-2)\r \n" ); document.write( "\n" ); document.write( "Simplify the right-hand side of the inequality by simplifying each term. \n" ); document.write( "x<4\r \n" ); document.write( "\n" ); document.write( "The solution to the inequality includes both the positive and negative versions of the absolute value. \n" ); document.write( "x>-8 and x<4\r \n" ); document.write( "\n" ); document.write( "The solution is the set of values where x>-8 and x<4. \n" ); document.write( "-8 |