Concepts Covered:
- Graphing Boundary Lines – Convert inequalities to equations, plot the line, and determine whether it should be solid (≤ or ≥) or dashed (< or >).
- Shading the Correct Region – Use test points to determine which side of the line should be shaded.
- Checking Solutions – Substitute points to verify whether they satisfy the inequality.
Skills Covered:
- Convert inequalities into slope-intercept form.
- Graph inequalities with correct line types and shading.
- Check if a point is in the solution region.
Example Problems:
- Graph the inequality (y \leq 2x + 3) and shade the correct solution region.
- Which of the following points ((2,3)), ((−1,5)), ((4,0)) satisfy the inequality (y > -x + 4)?