Question

How do you know when a consecutive integer is even or odd? Like how is x+2 odd and even?

Answer 1

I suppose it just depends on the context of a problem involving it / how we define x. If we were defining x as an odd number, then adding 2 would also be an odd number... and if we were defining x as an even number, then adding 2 would also be an even number.

Answer 2

Have you ever seen those types of SAT problems that ask to find even/odd consecutive questions with the given number?

Answer 3

the question that I was thinking of was the sum of three consecutive even/odd integers = some #

it does raise the question to me: "what if we get an even number for my odd-defined x?"

Answer 4

That's why I'm very confused by what it means

Answer 5

Can someone post the full question, please?

Answer 6

I suppose in that case, there just doesn't exist a value that satisfies that condition.

Answer 7

It's getting pretty late here. If you (hopefully) don't forget about this question when you get on tomorrow, I'll post a full picture of the question and maybe you will all get the gist of what I'm trying to ask.

Answer 8

@Sakigurl
I suggest that you post exactly one SAT problem here each day, add your thoughts on it, and then read how others describe their solution techniques.

Regarding whether 2x + 1 is odd or even has to do with the nature of x. Without knowing the context of 2x +1 within the problem, there is little meaningful to say about it.

Parity problems are one of the staple problems of the SAT. You can learn to do them with practice.

Answer 9

Hey but 2x+1 is always odd! For all integral values of x, at least.. Because 2x is an even number, and 1 added to any even number results in an odd number