SOLUTION: How many positive whole numbers have reciprocals which are greater than 0.001? a. None B. 10 C. 100 D. 999

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Question 991750: How many positive whole numbers have reciprocals which are greater than 0.001?
a. None
B. 10
C. 100
D. 999

Answer by farohw(175) About Me  (Show Source):
You can put this solution on YOUR website!

Let 1%2Fx+%3E+0.001


x%2A%281%2Fx%29+%3E+0.001%2Ax+=+1+%3E+0.001x

1+%3E+0.001x --> 1%2F0.001+%3E+%280.001x%29%2F0.001

= 1000+%3E+x OR 0+%3C+x+%3C+1000

Therefore, your answer is d) 999 any number greater than 0 but less than 1000.