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Inequalities | Lecture 2 | Rational inequalities | Miscellaneous inequalities
Rational inequalities using wavy curve method, applying three cardinal rules
Level 1 Practice Problem 1 : Rational inequalities : (2x-1)/(2x^3+3x^2+x) is positive
Level 1 Practice Problem 2 : Rational inequalities : 2x/(2x^2+5x+2) is greater than 1/(x+1)
Level 1 Practice Problem 3: Rational inequalities : (x^2+2x+1)(x^3-1)/(x^2-x) greater or equal to 0
Level 1 Practice Problem 4: Rational inequalities : x^3(x-1)^2(x+4)/(x+1)(x-3) greater or equal to 0
Level 1 Practice Problem 5 : Rational inequalities : x^4(x+1)^2(x-2)/(x-3)^3(x+4) is greater than 0
Level 2 Practice Problem 1: Rational inequalities: 1/(x-1) -4/(x-2) +4/(x-3) -1/(x-4) less than 1/30
Modulus function solved example 10: Domain of ((|x|-3)(2-|x|)/(x.(x-2)))^1/2