1. 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.

2. 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