SOLUTION: If 4 times the reciprocal of a number is 3 more than 5/2 times the reciprocal of that number, find the number. *I am not even sure if i am setting up correctly so* 4(1/x)+3 > 5

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Question 823649: If 4 times the reciprocal of a number is 3 more than 5/2 times the reciprocal of that number, find the number. *I am not even sure if i am setting up correctly so*
4(1/x)+3 > 5/2[4(1/x)]
Is this set up right or do I have it wrong? Also do check this problem do i choose any number to verify it? Are there any special tools that could help me?
Thank You,
Crystal

Found 2 solutions by josgarithmetic, ewatrrr:
Answer by josgarithmetic(39618)   (Show Source): You can put this solution on YOUR website!
, four times the reciprocal of the number x. That much was good.

" times the reciprocal of that number", too imprecise. WHAT number? Are you given enough to drop pronoun and put in what it really means?

Only my best guess, , Five-halves times the reciprocal of "that" number.

3 more than 5/2 times the reciprocal of that number, .

Best understanding is that your description takes the form of the equation,
and you want to solve the equation for x. Slightly simpler way to show this is
Answer by ewatrrr(24785)   (Show Source): You can put this solution on YOUR website!
 

Hi,

4 times the reciprocal of a number  is 3 more than 5/2 times the reciprocal of that number 

write as we read:  ('is'  means = ), number is 

    |Multiplying thru by x so as all denominators = 1 

  



      3/2 = 3x

       1/2 = x

CHECKING our answer***   x = 1/2, (it's reciprocal 2/1 )



 

   

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