Which graph represents the system of inequalities?

Let's pick a point n the shaded region of the top left graph  ⇒ (0, - 5) = (x, y)

Put this into the inequalities

(-5)+ 3(0) ≥ 2   not true....so....we can stop here

Pick a point in the shaded region in the top right graph ⇒ (1, 0)  ⇒ (x, y)

(0) + 3(1) ≥ 2   

0 +3 ≥ 2    true

0 + 4 ≥  (1/2) (1)   

0  + 4 ≥ 1/2      true

Since this point makes both inequalities true....this must be the correct graph  !!!!