The specification for a length x is 43.6 cm with a tolerance of 0.1 cm. Write the specification as an absolute value inequality.
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OpenStudy (setsuna-yuregeshi):
I really need help, but on how to do it. Not just the answer please...
Vocaloid (vocaloid):
hint: the absolute value of the difference between x and 43.6 is less than or equal to the tolerance
OpenStudy (setsuna-yuregeshi):
Um... So |x-43.6|<or= 43.7?
@Vocaloid
Vocaloid (vocaloid):
almost.
what is the tolerance?
OpenStudy (setsuna-yuregeshi):
What does tolerance mean?
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OpenStudy (setsuna-yuregeshi):
lol
OpenStudy (setsuna-yuregeshi):
I don't know :(
Vocaloid (vocaloid):
"tolerance of 0.1" means that the value of x will be no more than 43.6 + 0.1, and no less than 43.6 - 0.1
basically, the tolerance gives you an upper bound and a lower bound for the possible x values
Vocaloid (vocaloid):
so our inequality is |x - 43.6| <= 0.1
OpenStudy (setsuna-yuregeshi):
eh?
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OpenStudy (setsuna-yuregeshi):
How come?
Vocaloid (vocaloid):
think about what this statement means
|x - 43.6| <= 0.1
|x - 43.6| represents the distance between x and 43.6. the inequality means that x will be no more than 0.1 units away from 43.6