Question
A solid line, a dashed line, and one point are graphed on a coordinate plane. The x-axis ranges from negative 3 to 10 in increments of 1. The y-axis ranges from negative 5 to 10 in increments of 1.
Is the point shown on the graph a solution for the simultaneous inequalities y>6x−4
and y≤3x+2
? Enter 1 for yes or 2 for no.
(1 point)
Answers
GPT-4o mini
To determine if the point shown on the graph is a solution for the simultaneous inequalities \( y > 6x - 4 \) and \( y \leq 3x + 2 \), we need to evaluate the point against both inequalities.
1. **For the first inequality \( y > 6x - 4 \)**:
- Plug in the \( x \) and \( y \) values of the point into the inequality and check if it holds true.
2. **For the second inequality \( y \leq 3x + 2 \)**:
- Again, plug in the \( x \) and \( y \) values of the point and check if it holds true.
Without the specific coordinates of the point, I can't directly evaluate them, but here's what you need to do:
- If both conditions are satisfied, return 1 (yes).
- If either condition is not satisfied, return 2 (no).
Please provide the coordinates of the point, or you can check both inequalities using the suggested method.
1. **For the first inequality \( y > 6x - 4 \)**:
- Plug in the \( x \) and \( y \) values of the point into the inequality and check if it holds true.
2. **For the second inequality \( y \leq 3x + 2 \)**:
- Again, plug in the \( x \) and \( y \) values of the point and check if it holds true.
Without the specific coordinates of the point, I can't directly evaluate them, but here's what you need to do:
- If both conditions are satisfied, return 1 (yes).
- If either condition is not satisfied, return 2 (no).
Please provide the coordinates of the point, or you can check both inequalities using the suggested method.