First we can see that one of the lines has the equation y = x , and the shade is below this line,
so y ≤ x is one of the inequalities.
Then the dotted line has the equation y = -2x - 2 , and the shade is above this line
so one of the inequalities must be y > -2x - 2
The only option that has those two is the last one. The last option is the correct one.
Here's a graph: https://www.desmos.com/calculator/bjnoosya26