Problems 5.3 and 5.4

Today in class we did problems 5.3 and 5.4.

In problem 5.3, there were various problems about graphing inequalities. We learned that when y is greater than or equal to mx+b, the shaded region is above the line of the inequality, and when y is less than or equal to mx+b, the shaded region is below the line. We also learned that when the sign in the inequality is greater than/less than or equal to, the line is solid and when y cannot be equal to mx+b, the line is dashed.

In problem 5.4 we learned how to graph two inequalities, or a system of linear inequalities, on the same axis. The region where both shaded areas overlap contains all the points that satisfy both inequalities.