document.write( "Question 50454: How would you figure out this compound inequality.\r
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document.write( "2x-4<6-7x<3x+6 \n" );
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Algebra.Com's Answer #33510 by AnlytcPhil(1806)![]() ![]() You can put this solution on YOUR website! How would you figure out this compound \r\n" ); document.write( "inequality. \r\n" ); document.write( "\r\n" ); document.write( "2x-4 < 6-7x < 3x+6\r\n" ); document.write( "\r\n" ); document.write( "That means \r\n" ); document.write( "\r\n" ); document.write( "2x - 4 < 6 - 7x AND 6 - 7x < 3x + 8\r\n" ); document.write( "\r\n" ); document.write( " 9x < 10 AND -10x < 2\r\n" ); document.write( "\r\n" ); document.write( " x < 10/9 AND x > -1/5\r\n" ); document.write( "\r\n" ); document.write( "which means that on the number line,\r\n" ); document.write( "x is less than (to the left of) 10/9\r\n" ); document.write( "on the number line AND greater than\r\n" ); document.write( "(to the right of) -1/5 on the number line,\r\n" ); document.write( "like this:\r\n" ); document.write( "\r\n" ); document.write( "----------o=============o-----------\r\n" ); document.write( " -1/5 10/9\r\n" ); document.write( " \r\n" ); document.write( "This can be written\r\n" ); document.write( "\r\n" ); document.write( " -1/5 < x < 10/9\r\n" ); document.write( "\r\n" ); document.write( "or in interval notation as\r\n" ); document.write( "\r\n" ); document.write( " (-1/5, 10/9)\r\n" ); document.write( "\r\n" ); document.write( "Edwin\n" ); document.write( " |