Question

In Exercises 6-11, graph the inequality in a coordinate plane. 6. \( x \geq 4 \) 7. \( y<-6 \) 8. \( x<0 \) 9. \( y<2 x+2 \) 10. \( -3 x+y \leq-2 \) 11. \( x-2 y \geq 6 \) In Exercises 12 and 13, write an inequality that represents the graph. 12. 13. 14. Write a linear inequality in two variables that has the following two properties. - \( (2,-1),(2,3) \), and \( (3,1) \) are not solutions. - \( (0,-3),(-2,1) \), and \( (1,-5) \) are solutions. In Exercises 15 and 16, write and graph an inequality whose graph is described by the given information. 15. The points \( (4,10) \) and \( (-2,-8) \) lie on the boundary line. The points \( (1,-3) \) and \( (-1,-7) \) are not solutions of the incquality. 16. The points \( (-3,7) \) and \( (9,-5) \) lie on the boundary line. The points \( (-4,2) \) and \( (6,-5) \) are solutions of the inequality.

          In Exercises 6-11, graph the inequality in a coordinate plane.
6. \( x \geq 4 \)
7. \( y<-6 \)
8. \( x<0 \)
9. \( y<2 x+2 \)
10. \( -3 x+y \leq-2 \)
11. \( x-2 y \geq 6 \)

In Exercises 12 and 13, write an inequality that represents the graph.
12.
13.
14. Write a linear inequality in two variables that has the following two properties.
- \( (2,-1),(2,3) \), and \( (3,1) \) are not solutions.
- \( (0,-3),(-2,1) \), and \( (1,-5) \) are solutions.

In Exercises 15 and 16, write and graph an inequality whose graph is described by the given information.
15. The points \( (4,10) \) and \( (-2,-8) \) lie on the boundary line. The points \( (1,-3) \) and \( (-1,-7) \) are not solutions of the incquality.
16. The points \( (-3,7) \) and \( (9,-5) \) lie on the boundary line. The points \( (-4,2) \) and \( (6,-5) \) are solutions of the inequality.

In Exercises 6-11, graph the inequality in a coordinate plane.
6. x ≥ 4
7. y<-6
8. x<0
9. y<2 x+2
10. -3 x+y ≤-2
11. x-2 y ≥ 6

In Exercises 12 and 13, write an inequality that represents the graph.
12.
13.
14. Write a linear inequality in two variables that has the following two properties.
- (2,-1),(2,3), and (3,1) are not solutions.
- (0,-3),(-2,1), and (1,-5) are solutions.

In Exercises 15 and 16, write and graph an inequality whose graph is described by the given information.
15. The points (4,10) and (-2,-8) lie on the boundary line. The points (1,-3) and (-1,-7) are not solutions of the incquality.
16. The points (-3,7) and (9,-5) lie on the boundary line. The points (-4,2) and (6,-5) are solutions of the inequality.

Added by Rakesh R.

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