947 9.6 Systems of Inequalities and Linear Programming 8. Does the point 13, -82 satisfy the system in Exercise 7? 9. The graph of 4x - 7y 628 has a _______________ boundary line. (solid / dashed) 10. When the inequality in Exercise 9 is solved for y, the result is __________ , and the points _______________ the boundary line are shaded. (above / below) Graph each inequality. See Examples 1 and 2. 11. x + 2y … 6 12. x - y Ú 2 13. 2x + 3y Ú 4 14. 4y - 3x … 5 15. 3x - 5y 76 16. x 63 + 2y 17. 5x 64y - 2 18. 2x 73 - 4y 19. x … 3 20. y … -2 21. y 63x2 + 2 22. y … x2 - 4 23. y 71x - 122 + 2 24. y 721x + 322 - 1 25. x2 + 1y + 322 … 16 26. 1x - 422 + y2 Ú 9 27. y 72x + 1 28. y … log1x - 12 - 2 Concept Check Work each problem. 29. For Ax + By Ú C, if B70, would the region above or below the line be shaded? 30. For Ax + By Ú C, if B60, would the region above or below the line be shaded? 31. Which one of the following is a description of the graph of the inequality 1x - 522 + 1y - 222 64? A. the region inside a circle with center 1-5, -22 and radius 2 B. the region inside a circle with center 15, 22 and radius 2 C. the region inside a circle with center 1-5, -22 and radius 4 D. the region outside a circle with center 15, 22 and radius 4 32. Write the inequality that represents the region inside a circle with center 1-5, -22 and radius 4. Concept Check Match each inequality with the appropriate calculator graph in A–D. Do not use a calculator. 33. y … 3x - 6 34. y Ú 3x - 6 35. y … -3x - 6 36. y Ú -3x - 6 A. −10 −10 10 10 B. −10 −10 10 10 C. −10 −10 10 10 D. −10 −10 10 10
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