First of all, as the line (y<3x) is dotted, so the sign of its inequality is just <, not <=
Options b ad c are out
To check which region is the right one for the second inequality (y>=-0.5x-4), plug in the origin point (0,0) into the inequality, if it satisfies then the region included the origin is the shaded region (the solution you want), if not, the other region is the solution..
0>+0-4 0>=-4
Yes, it satisfies,,
SO it is A