Algebra I Recipe: Solving and Graphing Systems of Inequalities
By G Redden
Steps:
- Graph all the inequalities on the same coordinate plane line as in Sec. 6.5.
- Determine where the shading overlaps and darken in that area darker.
- The solutions are where the shading overlaps.
1.
y ≥ -3x - 1
y < x + 2
y < x + 2
2.
x ≥ 0
y ≥ 0
4x - 3y ≤ 4
y ≥ 0
4x - 3y ≤ 4
3.
2x + y ≥ -4
x - 2y < 4
x - 2y < 4
4.
y < 2
x ≥ -1
y > x - 2
x ≥ -1
y > x - 2
5.
x ≥ 0
y > 2x - 1
y ≤ 2x + 3
y > 2x - 1
y ≤ 2x + 3
