Let us check the slope of y-intercepts of the given lines in the graph first.
The y-intercept of above line is 1 and slope of
Rise/run = 2/1 (Moving 2 units up and 1 unit right).
So, the equation should be
y=2x+1
Y-intercept of second line is -2 and slope is
Rise/run = -1/1 (Moving 1 unit down and 1 unit right).
So, the equation should be
y=-x-2.
Now, we need to check the shaded portion for inequality signs.
We have both lines dotted.
So, the inequality signs would be just < or >.
For y=2x+1 line : Shading is on the left side.
On the left side of the line y=2x+1, the y-values are greater than on right side.
Therefore, we got first inequality y>2x+1
For y=-x-2 line : Shading is on the down of the line.
On the down of the line y=-x-2, the y-values are less than up side of the line.
Therefore, second inequality would be
y<-x-2 or y+x<-2
Therfore, correct option is first option y>2x+1 and y+x<-2.
