Just double checking ?

That is incorrect.

The correct answer choice would be D.

Step-by-step explanation:

So we are asked to express the set using the roster method.

The set that we are given is:

{x | x∈N and x>7}

This set says that x is the set of all numbers that are greater than 7.

7 would not be included in the set because technically 7 is not greater than 7.

Knowing this, we can eliminate B and C.

The set would also never end, since, there are an infinite amount of number that are greater than 7.

Knowing this, we can eliminate A (and C again). Now we are left with just D. Thus, D is the correct answer.

I hope this helps. Happy studying.