Solutions for Graphing Systems of Linear Inequalities 12.2

To solve the problems presented in this section, start by plotting the boundary lines for each inequality. These lines divide the coordinate plane into distinct regions. For each inequality, determine whether the region above or below the boundary line should be shaded. This depends on the inequality symbol–use a dashed line for “” and a solid line for “≤” or “≥”.

Next, check for overlapping regions where the inequalities intersect. This is where both conditions are satisfied. The solution is found in the intersection of the shaded areas. Be sure to label the solution set clearly to avoid confusion, especially when working with multiple inequalities.

Remember, the key to visualizing these problems correctly is understanding the relationship between the inequalities and their graphical representations. Take your time to accurately draw each line and shade the appropriate area to find the correct solution region.