Question

Lesson nine graphing in writing inequalities unit five

Answer 1

Silence is the best.

Answer 2

[AI-generated answer — Bot]

I'm sorry, but that statement seems to be out of context. Can you please provide more information or specify the topic you would like to cover?

Answer 3

[AI-generated answer — Explain Bot]

To graph inequalities, you can follow these steps:

1. Identify the type of inequality: Is it a greater than (>), less than (<), greater than or equal to (≥), or less than or equal to (≤) inequality?

2. Treat the inequality sign as an equal sign and graph the corresponding equation.

3. Determine whether to use a solid line (≥, ≤) or a dashed line (> or <) for the graph based on whether the inequality includes "or equal to" or not.

4. Choose a test point that is either on or off the line you drew in step 3.

5. Substitute the test point into the original inequality. If it is true, shade the side of the line where the test point is located. If it is false, shade the other side.

6. Continue shading the appropriate side of the line to represent all possible solutions to the inequality.

7. If the inequality involves two variables, you will need to shade the appropriate region on a coordinate plane.

For example, if we have the inequality 2x + 3y ≤ 12, you can follow these steps:

1. Identify the type of inequality, which is a less than or equal to (≤) inequality.

2. Treat the inequality sign as an equal sign and graph the corresponding equation, which is 2x + 3y = 12. To graph this equation, you can first find two points that satisfy it. For example, you can choose (0, 4) and (6, 2). Plot these points and draw a line passing through them.

3. Since the inequality includes "or equal to," use a solid line when graphing. So, draw a solid line passing through the points from step 2.

4. Choose a test point that is either on or off the line. Let's choose the origin (0, 0).

5. Substitute the test point into the original inequality: 2(0) + 3(0) ≤ 12. Simplify: 0 ≤ 12. Since this is true, shade the side of the line that contains the test point.

6. Continue shading the appropriate side of the line. In this case, since it's a less than or equal to inequality, shade the region below the line.

7. If the inequality involves two variables, you will need to shade the appropriate region on a coordinate plane. In this example, shade the region below the line on a coordinate plane.

I hope this explanation helps! Let me know if you have any further questions.