Algebra I - Unit 3: Topic 2 – Graphing Inequalities

Student Notes – Graphing Inequalities pp 414-417

Linear Inequality - Solution to a Linear Inequality -

2. Graph 2 4y xd � on the graph below. Remember: Solve each inequality by graphing. Make sure to solve for y first! Then check on the calculator. 3. 2 3 12y x� !

4. 2 8y x� � t�

Algebra I - Unit 3: Topic 2 – Graphing Inequalities

5. 2 10y !

6. 4 4x d�

7. Which of the following points would be solutions to the inequality ! �2 3y x ?

A. (1, 0) B. (4, 8) C. (-6, -2) D. (-8, 0) E. (-5, -7) 8. Which graph represents the solution set of the linear inequality 3 3 9x y� ! ? A B C

Algebra I - Unit 3: Topic 2 – Graphing Inequalities

Practice – Graphing Inequalities pp 414-417 Match each inequality with its graph. Check the shading on the calculator.

5. Determine which ordered pairs are solutions to the inequality (circle them):

1y x! �

A (0, 0) B (2, 0) C (5, 4) D (1, 3) 6. The members of a school choir had a fundraising drive last month. They sold candy bars for $2 each and cans of popcorn for $5 each. Derek sold more than $300 worth of candy and popcorn altogether. Which of the following points could not reasonably represent the number of candy bars, y, and cans of popcorn, x, sold by Derek last month?

A (30, 90) B (40, 80) C (20, 50) D (50, 40)

7. Given the graph, answer the following questions.

A. m = _________ b: ___________

B. Inequality: __________________________________

C. Solution Point: ___________ Not a solution Point: __________

D. x-intercept: _____________ y-intercept: ______________

________1. 1

22

y xt �

________2. 2

23

y xd �

________3. 2

23

y xt �

________4. 1

22

y xd �

A. B.

C. D.

Algebra I - Unit 3: Topic 2 – Graphing Inequalities

Graph each inequality. 8. y xd � 9. � t4 16 0y

10. 2x ! 11. 4 2x y� �

12. 2 5 10x y� d� 13. 6 2 2x y� ��