SATACTMath_AI_
Syllabus/Heart of Algebra
04SAT Math

Linear Inequalities

Linear Inequalities

Rules

  • Solve like equations, BUT flip the sign when multiplying/dividing by a negative
  • Graphing: use a dashed line for < or >, solid line for ≤ or ≥
  • Shade the region that satisfies the inequality
  • Compound Inequalities

  • "AND" = intersection (both must be true)
  • "OR" = union (at least one must be true)
  • SAT Applications

  • Word problems with constraints (budget, capacity, etc.)
  • System of inequalities — find the feasible region
  • Identify which point satisfies all inequalities
  • Linear Inequalities | SAT Math Prep