Geometric Boundaries Worksheet

Geometric Boundaries

Read each question carefully and provide the best answer. Show all your work for full credit.

1. Which of the following inequalities represents the region *above* the line y = 2x - 3?

2. A   line indicates that the boundary itself is NOT included in the solution set of an inequality.

3. The solution to a system of linear inequalities is the   region where all inequalities are satisfied.

4. Graph the inequality y < -x + 4 on the coordinate plane below. Be sure to shade the correct region.

5. The boundary line for the inequality x ≥ 5 would be a dashed vertical line at x = 5.

6. A point on a solid boundary line is always part of the solution set for the inequality.

7. Describe the difference between a 'solid' and a 'dashed' line when graphing inequalities.

8. A company produces two types of widgets, A and B. It takes 2 hours to produce widget A and 3 hours to produce widget B. The company has a maximum of 30 production hours available per day. Write an inequality to represent this constraint, where x is the number of widget A and y is the number of widget B.