(x + 3)(x -4) < 7, Why is this incorrect statement?

I know the reason this is incorrect is because you cannot set each part equal to 7.
Is there a more detailed reason? Thank you for the help.

Actually, it is correct for some values of x.

Now, if you want to solve

(x + 3)(x -4) = 7

you cannot just set one factor equal to 7, because that means that the other factor must be 1.

That is why we always set the left side equal to zero, because then if the product is zero, one of the factors must be zero.