Lessons · Quantitative Reasoning
CLT Quantitative Reasoning · Lesson
Inequalities
Solve inequalities like equations, with one rule: multiplying or dividing by a negative number flips the sign.
- Solve step by step, watching for a negative coefficient.
- For "between" statements (−3 < x < 5), do the same thing to all three parts.
- Test a number from your answer in the original inequality.
Q. Solve −2x + 5 > 11.
Answer x < −3
−2x > 6, then divide by −2 and flip: x < −3. Check x = −4: 8 + 5 = 13 > 11.
- Forgetting to flip the sign when dividing by a negative.
- Mixing up "at least" (≥) and "more than" (>) when translating words.
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