Looking at the number line you have filled circle at positive 2 and moving towards right to infinite.
If you have a filled circle that means the solution does contain value 2. The bold arrow shows that the value of x is increasing to infinite. Both this statement mean x is greater or equal to 2.
x >= 2.
Solution: [2, infinite)
A) x + 2 >= 0
x >= -2
(False)
B) x <= 2
(False)
C) 3x -1 <= 5
3x <= 5+1
3x <= 6
x <= 2
(False)
D) 2x + 12 >= 16
2x >= 16 - 12
2x >= 4
x >= 2
(True)
Answer: D x >= 2