Learning Task 3: A. Answer the following. 1. In a given graph, how do you identify the solution s inequalities? 2. When is the boundary of an inequality a broken line? or a solid line? 3. When does a systems on inequalities have no solution?
1)"Solving" systems of linear inequalities means "graphing each individual inequality, and then finding the overlaps of the various solutions". So I graph each inequality, and then find the overlapping portions of the solution regions.
2)The boundary line for the inequality is drawn as a solid line if the points on the line itself do satisfy the inequality, as in the cases of ≤ and ≥. It is drawn as a dashed line if the points on the line do not satisfy the inequality, as in the cases of < and >.
