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) About Me  (Show Source):
You can put this solution on YOUR website!
4%281%2Fx%29, four times the reciprocal of the number x. That much was good.

"%285%2F2%29 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, %285%2F2%29%281%2Fx%29, Five-halves times the reciprocal of "that" number.

3 more than 5/2 times the reciprocal of that number, 3%2B%285%2F2%29%281%2Fx%29.

Best understanding is that your description takes the form of the equation,
4%281%2Fx%29=%285%2F2%29%281%2Fx%29%2B3 and you want to solve the equation for x. Slightly simpler way to show this is 4%2Fx=5%2F%282x%29%2B3

Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,

4 times the reciprocal of a numberhighlight_green%28x%29  is 3 more than 5/2 times the reciprocal of that number highlight_green%28x%29

write as we read:  ('is'  means = ), number is highlight_green%28x%29

+4%281%2Fx%29+=+%285%2F2%29%281%2Fx%29+%2B+3    |Multiplying thru by x so as all denominators = 1 

  +4+=+%285%2F2%29+%2B+3x

+8%2F2+=+%285%2F2%29+%2B+3x

      3/2 = 3x

       1/2 = x

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

4%2A2+=++%285%2F2%29%2A2+%2B+3+=+8