Linear Inequalities
Solve and graph inequalities in one and two variables.
Practice Problems
-3x + 5 > 14
-2 < 3x + 1 ≤ 10
Pro Tips & Shortcuts
SAT Tip: Remember: flip the inequality sign when multiplying or dividing by a negative number.
SAT Tip: The most common SAT mistake is forgetting to flip the inequality sign when dividing by a negative.
SAT Tip: Use (0,0) as your test point unless the line passes through the origin.
SAT Tip: Always double-check by testing a value from your solution set.
SAT Tip: Treat compound inequalities like a sandwich - do the same operation to all three parts.
Test a point to verify which side of the line to shade on a graph.
Circle this rule: Divide by negative → Flip the sign!
Dashed line = strict inequality (<, >); Solid line = inclusive (≤, ≥)
When you see a negative coefficient, prepare to flip the sign.
Read as: x is greater than -1 AND less than or equal to 3.