Linear Inequalities chhota scoring chapter hai — number line par solutions aur word problems. Yahan aapko is chapter ke sabse important formulas aur quick revision points free milte hain — NCERT/CBSE syllabus ke hisaab se, boards aur JEE/NEET dono ke liye.
Important Formulas & Concepts — Linear Inequalities
- Negative number se multiply/divide karne par inequality reverse hoti hai
- a < b ⟹ a + c < b + c (addition safe hai)
- |x| < a ⟹ −a < x < a
- |x| > a ⟹ x < −a ya x > a
- Solution set number line par represent karo
- Two inequalities → intersection of solutions
- x/y type: sign analysis (wavy curve basics)
- Word problems: “at least” ≥, “at most” ≤
Quick Revision Points
- Strict inequality (<, >) mein open circle, (≤, ≥) mein closed circle
- Solution interval notation mein likhna seekho
- Fraction wali inequality mein denominator ka sign case-wise lo
- Word problems mein variables define karke likho
- 5-10 minute ka chapter hai — full marks lo
📘 Complete Visual Notes + Formula Sheet PDF
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FAQ
Ye chapter kitna important hai?
Chhota hai par board mein 3-4 marks pakke — aur wavy curve JEE ke liye base banata hai.
Modulus inequalities tough lagti hain?
PDF mein |x| ke dono cases ka visual number-line map hai — ek baar mein clear.
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