---### Identifying Solutions to a Linear Inequality in Two VariablesFor each ordered pair (x, y), determine whether it is a solution to the inequality $ 8x + 3y \leq -3 $.| (x, y) | Is it a solution? ||--------|-------------------|| (-2, 0) | No || (-2, -5) | || (-3, 7) | || (4, -6) | |#### Instructions:1. Substitute the x and y values from each ordered pair into the inequality $ 8x + 3y \leq -3 $.2. Calculate the left-hand side of the inequality.3. Determine if the inequality is satisfied.4. Mark "Yes" if the inequality is true and "No" if it is false for each pair.#### Example:For the pair (-2, 0):$ 8(-2) + 3(0) = -16 + 0 = -16 $Since $-16 \leq -3$ is true, we mark "Yes".Make sure to test each pair similarly and fill in the table accordingly.#### Graph Explanation:- There is no graph shown in the image.- Instead, there is a selection table used to verify if the ordered pairs satisfy the given inequality.#### Additional Tools:- You can use the "Explanation" button for a detailed solution.- Use the "Check" button to verify your answers.---This content is intended to assist students and educators in solving linear inequalities and understanding the process of verifying solutions for given ordered pairs.

Answered: Image /qna-images/answer/912c4343-d213-4728-a5b0-6ed30b7d8cd5.jpg

Answered: For each ordered pair (x, y), determine…

For each ordered pair (x, y), determine whether it is a solution to the inequality 8x+3ys-3. Is it a solution? (x, y) Yes No (-2, 0) (-2, - 5) (-3, 7) (4. - 6)

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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Question

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### Identifying Solutions to a Linear Inequality in Two Variables

For each ordered pair (x, y), determine whether it is a solution to the inequality $ 8x + 3y \leq -3 $.

| (x, y) | Is it a solution? |
|--------|-------------------|
| (-2, 0) | No |
| (-2, -5) | |
| (-3, 7) | |
| (4, -6) | |

#### Instructions:
1. Substitute the x and y values from each ordered pair into the inequality $ 8x + 3y \leq -3 $.
2. Calculate the left-hand side of the inequality.
3. Determine if the inequality is satisfied.
4. Mark "Yes" if the inequality is true and "No" if it is false for each pair.

#### Example:
For the pair (-2, 0):
$ 8(-2) + 3(0) = -16 + 0 = -16 $
Since $-16 \leq -3$ is true, we mark "Yes".

Make sure to test each pair similarly and fill in the table accordingly.

#### Graph Explanation:
- There is no graph shown in the image.
- Instead, there is a selection table used to verify if the ordered pairs satisfy the given inequality.

#### Additional Tools:
- You can use the "Explanation" button for a detailed solution.
- Use the "Check" button to verify your answers.

---

This content is intended to assist students and educators in solving linear inequalities and understanding the process of verifying solutions for given ordered pairs.

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