document.write( "Question 997727: solve\r
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document.write( "the proper pH of the water in swimming pools is 7.4 + or - 0.2. Write an absolute value inequality representing this range. Then solve the inequality to state the range of the pH. \n" );
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Algebra.Com's Answer #615693 by Theo(13342)![]() ![]() You can put this solution on YOUR website! let x represent the ph of the water.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "|x - 7.4| <= .2\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "when (x - 7.4) is positve, the equation becomes (x - 7.4) <= .2 which results in x <= 7.6\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "when (x - 7.4) is negative, the equation becomes (x - 7.4) >= -.2 which results in x >= 7.2\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "you reverse the inequality and you change the sign of the expression on the right when (x - 7.4) is negative.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "there's a valid reason for doing this that i won't get into unless you ask. \n" ); document.write( "it involves the basic definition of absolute value.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "you get x <= 7.6 and x >= 7.4.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "this can be written as 7.4 <= x <= 7.6\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "this means that the ph is good if it reads from 7.4 to 7.6 and not good otherwise.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |