Inequalities
13 lessons · 33 questions · 5 PYQs
What the exams ask here
- solution set of (x-a)(x-b)/(x-c) >= 0
- largest k so that expression bounded
- min of x + 1/x type
- count integers satisfying
- range of (3x^2 - 6x + 12)/(x^2 + 2x + 4) (Indore 2019 SA Q8)
- largest b - a for (x - 3)/(x^2 + 3x + 2) >= 1 (Indore 2019 Q27)
- range of ab + bc + ca when a^2 + b^2 + c^2 = 1 (Indore 2019 Q28)
- 1/(1 + x) vs 1 - x + x^2 on (0, 1) and (-1, 0) (Indore 2020 Q18)
- x^2(x + 1)/((x - 1)(2x + 1)^3) > 0 (Indore 2023 Q21)
- parameter range for a quadratic negative for all x
- sqrt(x + a) > x - b
Lessons
- Start hereThe idea and the methodFirst lesson of Inequalities
- 1.Quadratic inequality3 questions + fresh variants
- 2.Rational inequality wavy curve4 questions + fresh variantsIndore 2023
- 3.Interval length2 questions + fresh variantsIndore 2019
- 4.AM GM min max5 questions + fresh variants
- 5.Bounded rational parameter2 questions + fresh variantsIndore 2019 SA
- 6.Integer solutions count1 question + fresh variants
- 7.Exponential inequality2 questions + fresh variants
- 8.Linear inequality4 questions + fresh variants
- 9.Sign for all x parameter3 questions + fresh variants
- 10.Symmetric expression range2 questions + fresh variantsIndore 2019
- 11.Compare expressions by sign3 questions + fresh variantsIndore 2020
- 12.Root inequality2 questions + fresh variants