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Mathhelp346
 4 years ago
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.
Mathhelp346
 4 years ago
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.

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TuringTest
 4 years ago
Best ResponseYou've already chosen the best response.1how 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

TuringTest
 4 years ago
Best ResponseYou've already chosen the best response.1let 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 ?

Mathhelp346
 4 years ago
Best ResponseYou've already chosen the best response.0is a 0.001 and b 2.35

TuringTest
 4 years ago
Best ResponseYou've already chosen the best response.1I 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 'lessthan or equalto', so we have \[ab\le x\]\[2.53b\le 0.001\]solve for b

TuringTest
 4 years ago
Best ResponseYou've already chosen the best response.1typo above*\[2.35b=0.001\]

TuringTest
 4 years ago
Best ResponseYou've already chosen the best response.1\[2.35b\le0.001\]or maybe\[2.35b<0.001\]not really clear...

Mathhelp346
 4 years ago
Best ResponseYou've already chosen the best response.0why is 0.001 there?

TuringTest
 4 years ago
Best ResponseYou've already chosen the best response.1that 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:\[2.35b\le0.001\]

TuringTest
 4 years ago
Best ResponseYou've already chosen the best response.1dw:1328239501252:dw

TuringTest
 4 years ago
Best ResponseYou've already chosen the best response.1b can be any point on that shaded partdw:1328239612650:dwso we can write\[ab\le x\]
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