SAT Math: Graphing Systems of Linear Inequalities
26+ practice questions in Praczo
The concept, explained
- 1
A system of inequalities is solved by identifying the shaded region on a graph where all inequalities overlap.
- 2
A solid line is used for ≤ or ≥. A dashed line is used for < or >.
- 3
To test which side of a line to shade, pick a test point (like (0,0)). If it makes the original inequality true, shade the side containing that point.
- 4
Sometimes you are given the graph and asked to find the matching inequality. Check the solid/dashed lines and pick a test point from the overlapping shaded region to verify the correct system.
- ✗ Selecting an answer choice with the wrong inequality symbols (e.g., matching a dashed line with a ≤ symbol).
- ✗ Forgetting to flip the inequality sign when dividing by a negative number to get the equation into y = mx + b form.
SAT-style practice
Which ordered pair (x, y) is a solution to the system: y < x + 2 and y ≥ -x - 1?
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