Answer
Below
Work Step by Step
Let's use a point not on the line to determine whether or not to shade above the line. (0,0)
$y < 3/2*x + 3$
$0 < 3/2*0 + 3$
$0 < 0+3$
$0 < 3$ (true)
Since $0<3$ is a true statement, we shade below the line.