If (2x + 1) times (3x + 1) is an odd integer, then x must be:	Select
A) an odd integer	B) an even integer	C) a prime number	D) a composite number	E) a negative integer
Solution:   (2x + 1) times (3x + 1) means (2x + 1)(3x + 1)   (2x + 1)(3x + 1) = 6x^2+5x+1   For 6x^2+5x+1 to be odd, 5x+1 must be odd since 6x^2 is always even.   So 5x must be even, hence x must be even.   Therefore x is an even integer.   Answer: an even integer
<result>B</result>
If (2x + 1) times (3x + 1) is an odd integer, then x must be: