Course Glossary

Solving Multi-Step Linear Inequalities in Two Variables

Problem SetUsing your what you have learned, solve each problem shown below. Follow the instructions for each portion, answer all of the questions, and make sure to show all of your work.

This activity is available below or in a printable document.

For problems 1–3: Solve for y. Show detailed work.

  1. 8x + 5y > 10

  2. 6(y − 1) ≤ 3x

  3. −10x + 3y ≥ −6x − 18

For problems 4–6: Use the graphing calculator to graph each inequality. Show detailed work. Provide a rough sketch of each graph.

  1. 2y + 8 < 6x
  2. −x − 4y ≥ 12
  3. 7x + 3y < 9

For problems 7–10: Refer to the inequality shown in the graph below.

Graph

Given the inequality shown in the graph:

  1. Describe the location(s) on the graph where you can find solutions.
  2. Plot two points that are included in the solution set. Label the points A and B.
  3. Describe the location(s) on the graph where you cannot find solutions.
  4. Plot two points that are not included in the solution set. Label the points C and D.

For question 11: Refer to the inequality given below.

5y − 8x ≤ 10

  1. Choose each of the following points that is a solution to the given inequality. Show work to justify your answer.
    1. (5, 1)
    2. (− 3, 2)
    3. (0, 4)
    4. (−1, −5)

Assignment
Once you have completed this assignment, please submit your work to the dropbox.