Concepts Covered:
- Understanding Intersection of Solutions – The solution set is where the shaded regions of all inequalities overlap.
- Testing Points in the System – Substituting points to verify if they satisfy all inequalities.
Skills Covered:
- Graph multiple inequalities and identify the overlapping region.
- Test points to determine whether they are within the solution set.
Example Problems:
- Find the solution region for the system:
- (y \geq -2x + 1)
- (y < 3x - 4)
- Determine whether the point $(2,1)$ is a solution to the system of inequalities:
- (y > 2x - 3)
- (y \leq -x + 5)