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Math Help - algebra help with explanations please

  1. #1
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    Jan 2008
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    173

    algebra help with explanations please

    1)
    If n is a real number, then 2n would
    never be part of which number set?
    (A) a real number (B) an irrational number
    (C) a rational number (D) an imaginary number
    (E) an integer

    2)
    If 2n^2 is an even integer, what is true about n + 1?
    (A) It is an even integer.
    (B) It is an odd integer.
    (C) It can be an odd or even integer.
    (D) It is a prime number.
    (E) It is a perfect square.

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  2. #2
    Member
    Joined
    Jul 2009
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    Thanks
    4
    1)if n is a real number then 2n is also a real number. so look at the choices, which one is not a real number?

    2) try and come up with examples where the choices arent correct. for example;
    E)it is a perfect square, not necessarily since n=1 gives 2n^2 even but 1+1 is not a perfect square.
    doing this will give you the right answer.

    you could also notice that because of the 2, 2n^2 is always even no matter what integer n is

    2 times any number(integer) is always even
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