For this case we have that the equation of the border line of the region is given by:
[tex]y = -2x-3[/tex]
To know the sign of inequality, we must evaluate a point that belongs to the region and verify if it is fulfilled.
As the border line is dotted, we discard options A and C.
Then, we evaluate the point (-2, -4)
Option B: [tex]y <-2x-3[/tex]
[tex]-4 <-2 (-2) -3\\-4 <4-3\\-3 <1[/tex]
Is fulfilled!
Thus, the region is given by the inequality of option B.
Answer:
Option B
