Graphing Two-Variable Linear Inequalities: Assignment

Which inequality is represented by the graph? Which point is a solution to the inequality?

1. y>2x+3/4 2. (2, 5)

Which of the points are solutions to the inequality? Check all that apply.

2. (-2, -2) 4. (0, 1) 5. (2, 5)

Which statements are true about the graph o fy < 2/3+ 1? Check all that apply.

3. The area below the line is shaded. 5. The x-intercept of the boundary line is (-3/2, 0).

Ms. Cassidy plotted the point (2, 3) on Miguel's graph of y < 2x - 4. She instructed him to change one number or one symbol in his inequality so that the point (2, 3) can be included in the solution set. Which equations might Miguel write? Check all that apply.

3. y > 2x - 4 4. y < 2x + 4 6. y < 4x - 4

Which linear inequality could represent the given table of values?

B. y ≤ -2x + 3

Which inequality is represented by the graph?

C. y < -3/2x + 1

Which point is a solution to the inequality? y<1/3x+1/2

D. (3, 1/2)

Which is the graph of 2x - 4y > 6?

Graph 4

Which is the graph of 2x + 3y > -3?

Graph Three

Describe the graph of y > mx, where m > 0.

Sample Answer: The graph of y > mx, where m > 0, consists of a dashed line and a shaded half plane. The line has a positive slope and passes through the origin. The shaded half plane is above the line.