The correct response is:
The student did x is less than -4, when the variable is on the other side; -4 is less than x so x is greater than -4.
This indicates that the student may have misunderstood the direction of the inequality, which states that \( x \) is greater than \(-4\), not less than. Thus, the correct graph would show an open circle at \(-4\) and a line extending to the right, representing all values greater than \(-4\).