Question

When solving the inequality y< -2x+1 by graphing , the solution region will be

Answer 1

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.