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how about if I wrote this: 'the distance between the actual size of the bearing and the perfect size of the bearing must be no more than x' ? that is very similar to the last statement you had
let the actual size be b let the optimal size be a let the limit of error be x 'the distance between a and b must be no more than x' can you write that as you did the other? what are a and x ?
is a 0.001 and b 2.35
I called the limit of error x, so x=0.001 a would be the optimal measurement the actual measurement 'b' will be the variable 'A bearing for a new sports car must be manufactured within 0.001 mm of its circumference of 2.35 mm' = 'the distance between a and b must be no more than x' 'no more than' means 'less-than or equal-to', so we have \[|a-b|\le x\]\[|2.53-b|\le 0.001\]solve for b
? why is it =?
shouldnt it be <
sorry another typo!
\[|2.35-b|\le0.001\]or maybe\[|2.35-b|<0.001\]not really clear...
why is 0.001 there?
that is the maximum error in measurement like I said it is like saying 'the distance between the actual measurement and the optimal measurement (2.35) must be no more than 0.001' treat these as points on a number line as before:\[|2.35-b|\le0.001\]
oh ok i get it
b can be any point on that shaded part|dw:1328239612650:dw|so we can write\[|a-b|\le x\]