Each point that lies inside the shaded region is a solution of the quadratic inequality.
We want to determine whether the y-value of a solution of the inequality is sometimes, always, or never greater than 2. First, let's draw the line y=2.
We can take note of the following observations.
If a point lies above the line y=2, its y-coordinate is greater than 2.
If a point lies below the line y=2, its y-coordinate is less than 2.
If a point on the line y=2, its y-coordinate is equal 2.
We can find points that lie inside the shaded region, and have different position with respect to the line y=2.
Therefore, sometimes the y-value of a solution is greater than 2.
