![Look at the two graphs. Determine the following: A. The equation of each line. B. How the graphs are similar. C. How the graphs are different. ,[object Object],[object Object],[object Object]](data:image/gif;base64,R0lGODlhAQABAIAAAAAAAP///yH5BAEAAAAALAAAAAABAAEAAAIBRAA7)
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Graphing sytems inequalities
- 1. Graphing Systems of Inequalities
- 3. Inequalities with Greater Than Pick a point from the shaded region and test that point in the equation y = x + 3 . Point: (-4, 5) This is incorrect. Five is greater than or equal to negative 1. If a solid line is used, then the equation would be 5 -1 . If a dashed line is used, then the equation would be 5 > -1 . The area above the line is shaded .
- 4. Inequalities with Less Than Pick a point from the shaded region and test that point in the equation y = -x + 4 . Point: (1, -3) This is incorrect. Negative three is less than or equal to 3. If a solid line is used, then the equation would be -3 3 . If a dashed line is used, then the equation would be -3 < 3 . The area below the line is shaded .
- 6. Example Graph the following linear system of inequalities. Use the slope and y-intercept to plot two points for the first inequality. Draw in the line. For use a solid line. Pick a point and test it in the inequality. Shade the appropriate region. x y
- 7. Example Graph the following linear system of inequalities. The region above the line should be shaded. Now do the same for the second inequality. x y
- 8. Example Graph the following linear system of inequalities. Use the slope and y-intercept to plot two points for the second inequality. Draw in the line. For < use a dashed line. Pick a point and test it in the inequality. Shade the appropriate region. x y
- 9. Example Graph the following linear system of inequalities. The region below the line should be shaded. x y
- 10. Example Graph the following linear system of inequalities. The solution to this system of inequalities is the region where the solutions to each inequality overlap. This is the region above or to the left of the green line and below or to the left of the blue line. Shade in that region. x y
- 11. You Try It Graph the following linear systems of inequalities.
- 12. Problem 1 Use the slope and y-intercept to plot two points for the first inequality. Draw in the line. Shade in the appropriate region. x y
- 13. Problem 1 Use the slope and y-intercept to plot two points for the second inequality. Draw in the line. Shade in the appropriate region. x y
- 14. Problem 1 The final solution is the region where the two shaded areas overlap (purple region). x y