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Math Help - number problem

  1. #1
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    number problem

    For which numbers, N, is N*2 greater than 2? On other words, for which numbers, N, is N*2>2?
    Investigate this question as follows

    A) Without using a calculator multiply 2 by the given numbers. show your work. In each case, determine whether the resulting product is greater than 2 or not.

    2.85, 1.25, 0.95, 0.03, -0.7, -3.5
    3 1/2, 1 1/8, 7/8, 2/5, -2/3, -2 3/4

    B) Based on your answers in part (a) and on the meaning and rules of multiplication, describe the collection of all numbers, N, for which N*2 is greater than 2.


    Thank you , I am sure its an easy problem to solve but my brain is fried cant figure this one out.
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  2. #2
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    Half of 2 is 1, so trivially, any number greater than 1 will be greater than 2 when multiplied by 2.
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  3. #3
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    If you need to show your work algebraically, then...

    N*2>2

    2N>2

    N>1
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  4. #4
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    Sean, for some reason I could not figure the B) part out. thank you
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  5. #5
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    Quote Originally Posted by recca View Post
    Sean, for some reason I could not figure the B) part out. thank you
    Well the collection of numbers N, is all numbers greater than 1. Or were you looking for a formal description?
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  6. #6
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    My professor wants a formal description. Thank you
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  7. #7
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    N is greater than or equal to 2
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