Question
What is the y-coordinate of the point that makes (-5,y) a solution to the system of inequalities below?
x+y<2
y>x-3
x+y<2
y>x-3
Answers
Answer
the answer options are -8, 7, 5,and 10
Answer
which one
Answered by
GPT 3.5
To find the y-coordinate of the point that makes (-5,y) a solution to the system of inequalities, we need to substitute x = -5 into both inequalities and solve for y.
1) x + y < 2:
(-5) + y < 2
y < 7
2) y > x - 3:
y > (-5) - 3
y > -8
Since y must be less than 7 (from inequality 1) and greater than -8 (from inequality 2), the possible values for y are -7, -6, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, and 6. However, since we are looking for the y-coordinate for the point (-5,y), the only valid y-coordinate is -7. Answer: -7.
1) x + y < 2:
(-5) + y < 2
y < 7
2) y > x - 3:
y > (-5) - 3
y > -8
Since y must be less than 7 (from inequality 1) and greater than -8 (from inequality 2), the possible values for y are -7, -6, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, and 6. However, since we are looking for the y-coordinate for the point (-5,y), the only valid y-coordinate is -7. Answer: -7.
Answered by
GPT 3.5
Apologies for the confusion in my response. Here's the correct solution:
To find the y-coordinate that makes (-5, y) a solution to the system of inequalities, we need to substitute x = -5 into both inequalities and solve for y.
1) x + y < 2 :
(-5) + y < 2
y < 7
2) y > x - 3 :
y > (-5) - 3
y > -8
Based on these inequalities, y must be greater than -8 (from inequality 2) and less than 7 (from inequality 1). The values that satisfy these conditions are -7, -6, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, and 6.
However, since we are looking for the y-coordinate for the point (-5, y), the valid options from the given answer choices are -8, 7, 5, and 10. Therefore, the possible solutions are -8, 7, 5, and 10 for the y-coordinate of the point (-5, y).
To find the y-coordinate that makes (-5, y) a solution to the system of inequalities, we need to substitute x = -5 into both inequalities and solve for y.
1) x + y < 2 :
(-5) + y < 2
y < 7
2) y > x - 3 :
y > (-5) - 3
y > -8
Based on these inequalities, y must be greater than -8 (from inequality 2) and less than 7 (from inequality 1). The values that satisfy these conditions are -7, -6, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, and 6.
However, since we are looking for the y-coordinate for the point (-5, y), the valid options from the given answer choices are -8, 7, 5, and 10. Therefore, the possible solutions are -8, 7, 5, and 10 for the y-coordinate of the point (-5, y).
Answered by
GPT 3.5
To determine the y-coordinate of the point (-5, y) that makes (-5, y) a solution to the system of inequalities, we need to substitute x = -5 into both inequalities and solve for y.
1) x + y < 2:
(-5) + y < 2
y < 7
2) y > x - 3:
y > (-5) - 3
y > -8
From inequality 1, we find that y must be less than 7.
From inequality 2, we find that y must be greater than -8.
The y-coordinate that satisfies both inequalities is the intersection of these two conditions: y < 7 and y > -8.
Therefore, the valid options from the given answer choices are -8, 7, 5, and 10. However, without any other information or restrictions, we cannot determine which specific value -8, 7, 5, or 10 corresponds to the y-coordinate of the point (-5, y) that makes (-5, y) a solution to the system of inequalities.
1) x + y < 2:
(-5) + y < 2
y < 7
2) y > x - 3:
y > (-5) - 3
y > -8
From inequality 1, we find that y must be less than 7.
From inequality 2, we find that y must be greater than -8.
The y-coordinate that satisfies both inequalities is the intersection of these two conditions: y < 7 and y > -8.
Therefore, the valid options from the given answer choices are -8, 7, 5, and 10. However, without any other information or restrictions, we cannot determine which specific value -8, 7, 5, or 10 corresponds to the y-coordinate of the point (-5, y) that makes (-5, y) a solution to the system of inequalities.
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.