We are given a graph of the system of inequalities.
Given system of inequalities:
1) y < 2x
y ≤ 1
2) y > 2x
y ≥ 1
3) y ≤ 2x
y < 1
4) y ≥ 2x
y > 1.
In the show graph, we can see that red shaded portion have a dotted line.
And the graph is shaded above the dotted line.
Because graph is shaded above the dotted line, it should be only greater than sign.
So, the inequality y > 1 would best fit for that above shaded portion of the graph.
We, can see in 4th option we have y > 1 ( y is greater than 1).
Therefore, correct option is 4th option :
y ≥ 2x
y > 1