Algebra › Section D · Systems of linear equations › Topic D.8
Systems of linear inequalities
One inequality shades half the plane; a system keeps only what every inequality allows. That surviving region — the feasible region — is where planning, budgeting, and optimisation live.
In this topic
- From half-planes to overlap
- Graphing each inequality, one at a time
- The solution is the feasible region
- Worked example: a region with three corners
- Corners: where boundaries cross
- Linear programming: optimising over a region
- Worked example: a bakery's best batch
- Checking the winning corner
- Common mistakes to avoid
- Key takeaways
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