solving systems of linear inequalities adapted from walch education
TRANSCRIPT
- Slide 1
- Slide 2
- Solving Systems of Linear Inequalities Adapted from Walch Education
- Slide 3
- Key Concepts A system of inequalities is two or more inequalities in the same variables that work together. The solution to a system of linear inequalities is the intersection of the half planes of the inequalities. Look for the area where the shading of the inequalities overlaps; this is the solution.
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- Practice # 1 Solve the following system of inequalities graphically:
- Slide 5
- Graph the line x + y = 10. Use a dashed line because the inequality is non-inclusive Shade the solution set. First pick a test point. Choose a point that is on either side of the line. Test point: (0, 0) Since the point (0, 0) makes the inequality false, shade the opposite side of the line.
- Slide 6
- Graph the line 2x 4y = 5 on the same coordinate plane. Use a dashed line because the inequality is non-inclusive Shade the solution set. First pick a test point. Choose a point that is on either side of the line. Test point: (0, 0) Since the point (0, 0) makes the inequality false, shade the opposite side of the line.
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- The overlap of the two shaded regions, which is darker, represents the solutions to the system:
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- Thanks for Watching !!!!! ~Dr. Dambreville