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)
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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### 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.
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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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