Which of the following could represent consecutive even integers?

x + 1, x + 2

x+1, x + 3

2x, 2x + 1

"x+1, x + 3"

Step-by-step explanation:

Consecutive even numbers' example would be:

2, 4, ...

16, 18 ...

212, 214 ...

What do they have in common?

They are spaced "2" units apart.

4 - 2 = 2

18 - 16 = 2

214 - 212 = 2

Now, let's check for the answer choices, whichever is "2" units apart, that is the one.

x + 2 - (x + 1) = x + 2 - x - 1 = 1 units

x+3 - (x+1) = x + 3 - x - 1 = 2 units [this is the one]

2x + 1 - (2x) = 2x + 1 - 2x = 1 units

Hence, 2nd answer choice is representing consecutive even integers.