Graph the solution of the system of linear inequalities.
y ≥ = - x + 2
y ≤ = 3x + 7
coordinates
To graph the solution of the system of linear inequalities, we first need to graph each inequality individually and find the intersection of their solutions.
1. Graphing y ≥ -x + 2:
- Start by graphing the line y = -x + 2. This line has a y-intercept of 2 and a slope of -1.
- Draw a solid line to represent y = -x + 2.
- Shade the region above the line (since the inequality is y ≥ -x + 2).
2. Graphing y ≤ 3x + 7:
- Start by graphing the line y = 3x + 7. This line has a y-intercept of 7 and a slope of 3.
- Draw a solid line to represent y = 3x + 7.
- Shade the region below the line (since the inequality is y ≤ 3x + 7).
The intersection of the shaded regions of both inequalities represents the solution to the system of linear inequalities. Determine the coordinates of the points where the shaded regions intersect.
Unfortunately, the system of linear inequalities is incomplete because the inequalities given are not properly written. There is an extra ">=" or "≤" symbol after the greater than or equal to sign and the less than or equal to sign, respectively.
Please provide the correct inequalities so that we can solve the system and represent the solution graphically.