Geometric Boundaries Worksheet
Explore geometric boundaries, inequalities, and regions in the coordinate plane with this Grade 11 math worksheet.
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Geometric Boundaries
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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?
y < 2x - 3
y > 2x - 3
y ≤ 2x - 3
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.
True
False
6. A point on a solid boundary line is always part of the solution set for the inequality.
True
False
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.