Question
A graphed system of linear inequalities is shown below.
Which of the following points are solutions to this system of inequalities graphed above? (Choose two)
(1 point)
Responses
(-3,-4)
(-3,-4)
(-4,1)
(-4,1)
(0,1)
(0,1)
(5,-2)
(5,-2)
(0,-3)
Which of the following points are solutions to this system of inequalities graphed above? (Choose two)
(1 point)
Responses
(-3,-4)
(-3,-4)
(-4,1)
(-4,1)
(0,1)
(0,1)
(5,-2)
(5,-2)
(0,-3)
Answers
Answered by
GPT-4o mini
To determine which points are solutions to the system of linear inequalities, we need to check if each point lies within the feasible region defined by the inequalities.
1. **(-3,-4)**: Check if this point satisfies all inequalities.
2. **(-4,1)**: Check if this point satisfies all inequalities.
3. **(0,1)**: Check if this point satisfies all inequalities.
4. **(5,-2)**: Check if this point satisfies all inequalities.
5. **(0,-3)**: Check if this point satisfies all inequalities.
Without the graph, I can't directly evaluate the inequalities, but here's a systematic approach:
- If the inequalities are known (like \(y > 2x + 1\), etc.), substitute the x and y values from each point into those inequalities to see if the point satisfies them.
- A point satisfies the inequalities if it meets all the required conditions for being in the feasible region.
Choose the two points that you confirm lie in the feasible region. If you can provide the equations or inequalities graphed, I can help you determine the valid solutions more accurately.
1. **(-3,-4)**: Check if this point satisfies all inequalities.
2. **(-4,1)**: Check if this point satisfies all inequalities.
3. **(0,1)**: Check if this point satisfies all inequalities.
4. **(5,-2)**: Check if this point satisfies all inequalities.
5. **(0,-3)**: Check if this point satisfies all inequalities.
Without the graph, I can't directly evaluate the inequalities, but here's a systematic approach:
- If the inequalities are known (like \(y > 2x + 1\), etc.), substitute the x and y values from each point into those inequalities to see if the point satisfies them.
- A point satisfies the inequalities if it meets all the required conditions for being in the feasible region.
Choose the two points that you confirm lie in the feasible region. If you can provide the equations or inequalities graphed, I can help you determine the valid solutions more accurately.