### Determine Solutions for the System#### Instructions:Determine which of the ordered pairs are solutions to the system and which are not.#### Categories:- **Solutions** - Add an answer item! - **Not Solutions** - Add an answer item!#### Answer Bank:- (-2, 3)- (2, -3)- (-5, 4)- (2, 3)- (5, 4)- (-4, -5)---**Explanation:**The exercise requires you to classify each given ordered pair from the Answer Bank into either the "solutions" or "not solutions" category based on whether they satisfy the given system of equations. No specific system of equations is given in the image, so you need to refer to the original problem statement or context provided in your material. **Category:**Given the graph representing the system of inequalities below:\[ 3x - 4y \leq 8 \]\[ 6x - y \geq -19 \]**Graph Explanation:**The image shows a graph with two linear inequalities represented. 1. **Blue Line:** This line represents the inequality \(3x - 4y \leq 8\). - The inequality line is solid, indicating that points on the line satisfy the inequality. - The shaded region for this inequality is to the left of the line, including the boundary line.2. **Red Line:** This line represents the inequality \(6x - y \geq -19\). - Similarly, this inequality line is solid, indicating that points on the line satisfy the inequality. - The shaded region for this inequality is above the red line, including the boundary line.Where these two shaded regions overlap, the solution to the system of inequalities is found. This overlapping region represents all ordered pairs \((x, y)\) that satisfy both inequalities simultaneously.- The x-axis and y-axis are clearly labeled, with numbers marking increments for easier reading of the graph. The original point (0,0) is offset to provide room for plotting negative and positive values on both axes.- The gradient change in the shading indicates the areas that satisfy the inequalities. For the inequality \(3x - 4y \leq 8\), the shading transitions from red to blue and purple as it overlaps with the shading from the inequality \(6x - y \geq -19\).The combined shaded region (overlapping purple area) is the solution set for this system of inequalities.

Answered: Given the graph representing the system…

Given the graph representing the system of inequalities below: 3x - 4y≤8 6x-y2-19 -9-8 -6-5-43 -2 -1 9 8+ 74 64 st 4 3 2 + -+- d -5. -6- -7 -8+ -9 y far 3 4 5 to 00 10- 9 +

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,...

See similar textbooks

Related questions

Q: 1. Graph the system of inequalities 2х + у S 50 4х + 5y < 160 x 2 0, y 2 0

Q: Which system of inequalities is represented by the graph below? A B C Y-3x + 2 D yx3x2 D

A: To determine which system of inequalities correspond to the given graph

Q: Graph the following system of inequalities: 10+ 9 8 10-9-8-7 -6 -5 -4 -3 -2 ON 7 6 5 4 3 2- 1 17 -2…

A: Solve the following

Q: Write a system of inequalities for the graph. Choose the correct answer below. OA. OC. x20 y20 6x +…

Q: Graph the system of inequalities. Find the coordinates of any vertices formed. 20- ys 5x + 1 y2 - 5x…

A: Given inequalities, y≤5x+1y≥-5x+1x≤3

Q: Choose 3 inequalities that form a system whose graph is the shaded region shown above. A. 8x-5y2-20…

A: The graph of the bounded region is given, we have to find the system of inequalities whose graph…

Q: 17. Which graph represents the solution set to the following system of inequalities? y +6 > (x+ 1)2…

A: Linear Inequalities Graphing When we plot the graph for inequalities, we can see the graph of an…

Q: 4. Which of the following ordered pairs is within the solution set to the following system of inequ…

A: Given query is to find the solution of the system of inequality.

Q: . Graph the following systems of linear inequalities. . 4x + 5y-20 ≤ 0 . x ≥ 0; y ≥ 0; x + y ≥ 1 -…

A: To graph an inequality, we first draw the line corresponding to it. If its greater then we take the…

Q: Graph the solution set of the system of inequalities.

Q: 1. Write a system of linear inequalities for the shaded region. Y=4 --XY≤4 x=4-x≤4 y=-4-→Y≥-4…

A: given graph of a shaded region

Q: A. Sketch the solution of this system of inequalities. y 2 |x - 31 - 6

A: Here we have to sketch the solution of the system of inequalities. y≤3y>2|x-3|-6

Q: Consider the following system of inequalities: y 2 0 | 2х - 5у 2 -30 ( 5х + 3у 2 33 How many corner…

Q: Consider the following system of inequalities: y 4х + 4y < 36 5х + Зу < 35 How many corner points…

Q: 12. Last night, Julie's pet hamster Zoe kept Julie awake for at least an hour running on her…

A: In order to solve this problem, we just need to translate mathematically what the problem is talking…

Q: Graph the solution to the following system of inequalities. y≤4x+7 y>-3x-8

A: solution:- y≤4x+7y>-3x-8 using graphing calculator

Question

### Determine Solutions for the System

#### Instructions:
Determine which of the ordered pairs are solutions to the system and which are not.

#### Categories:
- **Solutions**
- Add an answer item!

- **Not Solutions**
- Add an answer item!

#### Answer Bank:
- (-2, 3)
- (2, -3)
- (-5, 4)
- (2, 3)
- (5, 4)
- (-4, -5)

---

**Explanation:**
The exercise requires you to classify each given ordered pair from the Answer Bank into either the "solutions" or "not solutions" category based on whether they satisfy the given system of equations. No specific system of equations is given in the image, so you need to refer to the original problem statement or context provided in your material.

**Category:**
Given the graph representing the system of inequalities below:

\[
3x - 4y \leq 8
\]
\[
6x - y \geq -19
\]

**Graph Explanation:**

The image shows a graph with two linear inequalities represented.

1. **Blue Line:** This line represents the inequality \(3x - 4y \leq 8\).
- The inequality line is solid, indicating that points on the line satisfy the inequality.
- The shaded region for this inequality is to the left of the line, including the boundary line.

2. **Red Line:** This line represents the inequality \(6x - y \geq -19\).
- Similarly, this inequality line is solid, indicating that points on the line satisfy the inequality.
- The shaded region for this inequality is above the red line, including the boundary line.

Where these two shaded regions overlap, the solution to the system of inequalities is found. This overlapping region represents all ordered pairs \((x, y)\) that satisfy both inequalities simultaneously.

- The x-axis and y-axis are clearly labeled, with numbers marking increments for easier reading of the graph. The original point (0,0) is offset to provide room for plotting negative and positive values on both axes.
- The gradient change in the shading indicates the areas that satisfy the inequalities. For the inequality \(3x - 4y \leq 8\), the shading transitions from red to blue and purple as it overlaps with the shading from the inequality \(6x - y \geq -19\).

The combined shaded region (overlapping purple area) is the solution set for this system of inequalities.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1: Given data and requirement of the question

VIEW

Step 2: Feasible region of the given system of inequation

VIEW

Step 3: Identification of points which are solutions and which are not solutions

VIEW

Solution

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 4 steps with 11 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

Which of the following graphs correctly depicts the system of inequalities below? 6 > f+ a+y < 1 -10 -5 10 -5- -10 10
Graph the inequality. Ay 10- -7
Graph the inequality on the axes below. 6x + 5y 2 -10 10 8. 6 5 4 -10 -9 -8 -7 -6 -4 -3 1 3 4 5 10 -5 -1 -1 -3 -4 -5 -6 -7 -8 -9 -10 S.uhmit Anruor
4) Write the system of inequalities that matches the graph. Ay -4 -3 -2 + 4 x
9.) Graph the system of inequalities and indicate the solution set. x-y<4 x + y < 5
Which system of inequalities represents the graph? O y ≤ 3x + 2 and y> -2x + 3 Oy≤ x + 6 and y 3x + 2 Oys-x+6 and y > 2x + 3 Oy> -2x + 4 and y ≤ 4x - 3