document.write( "Question 892655: A scale is accurate within .5 pound how do I write an absolute value inequality if a person weighs 95 pounds to express the possible error in the weight (w) given by the scale. I then have to solve the inequality \n" ); document.write( "
Algebra.Com's Answer #540724 by Theo(13342)![]() ![]() You can put this solution on YOUR website! i believe your solution is going to be:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "|x - 95| <= .5\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x represents the weight of the person as measured by the scale.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "here's how it works.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "suppose the person weighs 95.5 pounds.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "equation becomes |95.5 - 95| <= .5 which becomes |.5| <= .5 which becomes .5 <= .5 which is within the prescribed limits.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "suppose the person weighs 94.5 pounds.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "equation becomes |94.5 - 95| <= .5 which becomes |-.5| <= .5 which becomes .5 <= .5 which is also good.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "since the maximum error of the scale is +/- .5, the scale will not measure a 95 pound person outside those limits.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "you can expect that |x - 95| <= .5\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "suppose the scale measures 94.8 pounds.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the difference is -.2 which becomes .2 which is less than .5.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "suppose the scale measures 95.2 pounds.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the difference is +.2 which becomes .2 which is less than .5.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the absolute value automtically takes care of the plus and minus aspects of the difference.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |