Point charge and electric flux

[channel1]

Homework Statement

You measure an electric field E at a distance x from a point charge. What is the electric flux through a sphere whose center is at that distance and whose radius is less than x from the charge?

Homework Equations

E*dA = (q_enc)/(e_0)

The Attempt at a Solution

I'm not sure that I'm understanding the question...The sphere does not enclose the point charge since its center is at x and its radius is less than x from the charge, so doesn't that mean q_enc = 0 and the flux is 0? (I have the answer so I know it's not zero, but I don't understand what I'm missing conceptually here...)

 

[cupid.callin]

net flux is 0
it means the new electric field lines crossing the total surface is 0
look at pic ... all field lines entering exit the Gaussian surface ! so net field through surface is 0

 

[Redbelly98]

The Attempt at a Solution

I'm not sure that I'm understanding the question...The sphere does not enclose the point charge since its center is at x and its radius is less than x from the charge, so doesn't that mean q_enc = 0 and the flux is 0?

I believe that is correct.

(I have the answer so I know it's not zero, but I don't understand what I'm missing conceptually here...)

That's weird, what is the "correct" answer that you have been given?