The answer is 3 because when you simplify -4n>-12, it is n<3. n+4>2 is n>-2 when you simplify it. Now, we know that n<3 and n>-2. If it were in interval notation, it would be (-2, 3). We can count how many integers there are, which is 3. You can also do 3-(-2)-2, 3.