Mathhelp346
  • Mathhelp346
A bearing for a new sports car must be manufactured within 0.001 mm of its circumference of 2.35 mm. Write and solve an absolute value inequality to describe the largest and the smallest possible circumference for the bearing.
Mathematics
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Mathhelp346
  • Mathhelp346
A bearing for a new sports car must be manufactured within 0.001 mm of its circumference of 2.35 mm. Write and solve an absolute value inequality to describe the largest and the smallest possible circumference for the bearing.
Mathematics
schrodinger
  • schrodinger
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TuringTest
  • TuringTest
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
Mathhelp346
  • Mathhelp346
?
TuringTest
  • TuringTest
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 ?

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Mathhelp346
  • Mathhelp346
is a 0.001 and b 2.35
TuringTest
  • TuringTest
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
TuringTest
  • TuringTest
typo above*\[|2.35-b|=0.001\]
Mathhelp346
  • Mathhelp346
? why is it =?
Mathhelp346
  • Mathhelp346
shouldnt it be <
TuringTest
  • TuringTest
sorry another typo!
Mathhelp346
  • Mathhelp346
lol
TuringTest
  • TuringTest
\[|2.35-b|\le0.001\]or maybe\[|2.35-b|<0.001\]not really clear...
Mathhelp346
  • Mathhelp346
why is 0.001 there?
TuringTest
  • TuringTest
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:\[|2.35-b|\le0.001\]
Mathhelp346
  • Mathhelp346
oh ok i get it
TuringTest
  • TuringTest
|dw:1328239501252:dw|
Mathhelp346
  • Mathhelp346
ok
TuringTest
  • TuringTest
b can be any point on that shaded part|dw:1328239612650:dw|so we can write\[|a-b|\le x\]
Mathhelp346
  • Mathhelp346
ok

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