document.write( "Question 234498: What is the translation of the statement\"w is greater than -3 and less than 4\"?\r
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document.write( " A}-3
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document.write( " C}-3
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document.write( " D}-3>w<4
Algebra.Com's Answer #172900 by Theo(13342)![]() ![]() You can put this solution on YOUR website! What is the translation of the statement\"w is greater than -3 and less than 4\"?\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " A}-3 \n" ); document.write( " C}-3 \n" ); document.write( " D}-3>w<4\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "w > -3 is the same as -3 < w\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "here's how that would be derived:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "w > -3\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Add 3 to both sides of this equation and subtract w from both sides of this equation to get:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "3 > -w\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Multiply both sides of this equation by -1 to get:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "-3 < w ***************************************************************\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The inequaity reverses when you multiply both sides of the equation by -1.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Now take the second half of your equation as given.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "w < 4 *****************************************************************\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "You can leave this part as is because it's already in the form that you want.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Put these two inequalities together and you get:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "-3 < w and w < 4\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Since w = w, these can be combined into:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "-3 < w < 4\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " |