Question 892655
i believe your solution is going to be:


|x - 95| <= .5


x represents the weight of the person as measured by the scale.


here's how it works.


suppose the person weighs 95.5 pounds.


equation becomes |95.5 - 95| <= .5 which becomes |.5| <= .5 which becomes .5 <= .5 which is within the prescribed limits.


suppose the person weighs 94.5 pounds.


equation becomes |94.5 - 95| <= .5 which becomes |-.5| <= .5 which becomes .5 <= .5 which is also good.


since the maximum error of the scale is +/- .5, the scale will not measure a 95 pound person outside those limits.


you can expect that |x - 95| <= .5


suppose the scale measures 94.8 pounds.


the difference is -.2 which becomes .2 which is less than .5.


suppose the scale measures 95.2 pounds.


the difference is +.2 which becomes .2 which is less than .5.


the absolute value automtically takes care of the plus and minus aspects of the difference.