Analysis
Let's review how to solve systems of linear inequalities by graphing, to solve systems of linear inequalities by graphing, you can follow these steps:
Graph each inequality on the same coordinate plane:
First, rewrite the inequality in slope-intercept form (y = mx + b) if necessary.
Determine if the line should be solid or dashed:
Use a solid line for inequalities with ≤ or ≥ since points on the line are included in the solution.
Use a dashed line for inequalities with <or > since points on the line are not included.
And plot the line for each inequality.
Shade the correct side of each line:
For inequalities in the form y > or y ≥, shade above the line.
For inequalities in the form y <or y ≤, shade below the line.
To determine the correct side, you can also test a point (like the origin (0, 0)) not on the line. I...
Click "Show Answer" to reveal the answer and analysis