Which graph represents the solution set of the system of inequalities?

The given inequalities are
y < (2/3)x
y ≥ -x + 2

The line y = (2/3)x  has a positive slope of 2/3, and it passes through the origin.
This line is shown as a dashed line segment in both graphs.
Because the inequality requires that y < (2/3)x, therefore the shading for the first graph is incorrect. It is correct for the second graph.

The line y = -x + 2 has a negative slope of -1, and a y-intercept of 2. 
This line also appears in both graphs.
Because the inequality requires that y ≥ - x + 2, the shading for the first graph is incorrect. It is correct for the second graph.

The second graph is correct (and it is shown below).