What system of linear inequalities is shown in the graph?

For dotted line y > 2x- 3

For solid line y ≥ - 1/2 x +2.

Step-by-step explanation:

Given : Graph.

To find : What system of linear inequalities is shown in the graph.

Solution: We have given graph

For dotted line : We can see from the graph line is shaded up.

On comparing slope intercept form :  y = mx + b

Where m = slope , b = y intercept.

Slope for dotted line is 2 then Greater sign for shaded up and y intercept is -3.

y > 2x -3.

For solid line: slope = - 1/2 and greater than equal to sign for shaded up solid line , solid line cut at y axis at 2 so y intercept is 2.

Then equation become y ≥ -1/2 x +2.

Therefore, For dotted line y > 2x- 3

For solid line y ≥ - 1/2 x +2.

the sum of all the angles in a triangle are equal to 180

so you can add   the 3 given angles together to equal 180:

5y + 2y + 2y = 180

or since all three angles have the same letter, combine the 3 angles to equal 180:

9y = 180