document.write( "Question 39068: Please solve each absolute value inequality and graph the
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document.write( "solution set. Please help!!
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document.write( " |3x - 7| > -3
Algebra.Com's Answer #24497 by AnlytcPhil(1806)![]() ![]() You can put this solution on YOUR website! Please solve each absolute value inequality and graph the \r\n" ); document.write( "solution set. Please help!! \r\n" ); document.write( " |3x - 7| > -3\r\n" ); document.write( "\r\n" ); document.write( "=====================================\r\n" ); document.write( "\r\n" ); document.write( "That's a tricky problem! Watch out for those. You don't\r\n" ); document.write( "try to solve it! You reason out the solution set using the\r\n" ); document.write( "fact that:\r\n" ); document.write( "\r\n" ); document.write( "All absolute values\r\n" ); document.write( "are either positive\r\n" ); document.write( "or zero!!!!!\r\n" ); document.write( "\r\n" ); document.write( "|3x - 7| is an absolute value so it is always either positive \r\n" ); document.write( "or zero.\r\n" ); document.write( "\r\n" ); document.write( "Now any positive number or 0 is certainly greater than -3,\r\n" ); document.write( "right?\r\n" ); document.write( "\r\n" ); document.write( "Therefore no matter what value x takes on, |3x - 7| will \r\n" ); document.write( "ALWAYS be greater than -3.\r\n" ); document.write( "\r\n" ); document.write( "Therefore x can be any real number, which means the solution \r\n" ); document.write( "set is the entire number line shaded:\r\n" ); document.write( "\r\n" ); document.write( "-oo <=======================> oo \r\n" ); document.write( "\r\n" ); document.write( "The solution in interval notation is (-oo, oo)\r\n" ); document.write( "\r\n" ); document.write( "Edwin\r\n" ); document.write( "AnlytcPhil@aol.com\n" ); document.write( " |