Answer:
We want to find the solution region for:
y < -2*x + 1
To find the region, the steps are:
Write the inequality as an equation like:
y = -2*x + 1
Let's graph this line.
Because we have the symbol "<", the line will be a dashed line. This is because y is strictly smaller than the line, so the points of the line itself are not solutions.
And our inequality is:
y < -2*x + 1
So y is smaller than the line, then the shaded region is all the region below the line.
The graph of this inequality is shown below.