Solving algebraic inequalities

The database of the EMTeachline Mathematics Software contains approximately 5 000 000 of math problems. Math problems are graded in 11 difficulty classes and cover all skill levels from basic through advanced. The software modules are organized by subject. Covered subject areas are Arithmetic, Pre-algebra, Algebra I and II, Trigonometry and Hyperbolic Trigonometry. The Arithmetic and Pre-Algebra modules offer tasks on simplification and evaluation of numeric expressions, including fractional expressions, computational problems, proofs of numeric equalities. The Algebra modules offer simplification and evaluation problems, proofs of algebraic identities and inequalities, solutions of algebraic equations and inequalities; included are linear, quadratic, cubic, reciprocal, biquadratic and fractional expressions. The Trigonometry and Hyperbolic Trigonometry modules offer simplification and evaluation problems, proofs of trigonometric and hyperbolic identities, and solutions of trigonometric and hyperbolic equations; included are all the basic and inverse trigonometric and hyperbolic functions. All problems are solved or proved in full detail. Each module allows employing the database for development of math tests, quizzes, exams, revision exercises and homeworks. Currently available themes, chapters and sections, together with those in preparation, are listed below. Our free online demos allow viewing math examples online.

• Weak linear inequalities.Elementary linear weak inequalities

• Weak linear inequalities.Linear weak inequalities containing fractions

• Weak linear inequalities.Homographic weak inequalities. Method of substitution. Rational coefficients

• Weak linear inequalities.Linear weak inequalities. Distributive law

• Weak linear inequalities.Weak inequalities reduced to linear inequalities. Formulas of short multiplication

• Weak linear inequalities.Linear weak inequalities. Formulas of short multiplication. Cubes

• Weak linear inequalities.Linear weak inequalities. Properties of fractions

• Weak linear inequalities.Linear weak inequalities. Factorization of quadratic trinomial

• Weak linear inequalities.Weak inequalities reduced to linear inequalities. Method of substitution. Distributive law

• Weak linear inequalities.Weak inequalities reduced to linear inequalities. Method of substitution. Formulas of short multiplication

• Weak linear inequalities.Weak inequalities reduced to linear inequalities. Method of substitution. Properties of powers

• Weak linear inequalities.Linear weak inequalities. Properties of powers

• Weak linear inequalities.Weak inequalities reduced to linear inequalities

• Weak linear inequalities.Fractional weak inequalities reduced to linear inequalities

• Weak linear inequalities.Homographic weak inequalities. Properties of fractions. Rational coefficients

• Weak linear inequalities.Homographic weak inequalities. Properties of fractions. Integer coefficients

• Weak linear inequalities.Homographic weak inequalities. Method of substitution. Integer coefficients

• Weak linear inequalities.Weak inequalities reduced to linear inequalities. Method of substitution. Factorization of quadratic trinomial

• Weak linear inequalities.Weak inequalities reduced to linear inequalities. Properties of fractions. Distributive law

• Weak linear inequalities.Weak inequalities reduced to linear inequalities. Properties of fractions. Formulas of short multiplication

• Weak linear inequalities.Weak inequalities reduced to linear inequalities. Properties of fractions. Properties of powers

• Weak linear inequalities.Weak inequalities reduced to linear inequalities. Properties of fractions. Factorization of quadratic trinomial

• Strict linear inequalities.Elementary strict linear inequalities

• Strict linear inequalities.Strict linear inequalities containing fractions

• Strict linear inequalities.Strict linear inequalities. Distributive law

• Strict linear inequalities.Strict inequalities reduced to linear inequalities. Formulas of short multiplication

• Strict linear inequalities.Strict inequalities reduced to linear inequalities. Formulas of short multiplication. Cubes

• Strict linear inequalities.Strict linear inequalities. Properties of fractions

• Strict linear inequalities.Strict linear inequalities. Properties of powers

• Strict linear inequalities.Strict inequalities reduced to linear inequalities

• Strict linear inequalities.Strict fractional inequalities reduced to linear inequalities

• Strict linear inequalities.Strict homographic inequalities. Properties of fractions. Rational coefficients

• Strict linear inequalities.Strict homographic inequalities. Properties of fractions. Integer coefficients

• Strict linear inequalities.Strict homographic inequalities. Method of substitution. Integer coefficients

• Strict linear inequalities.Strict homographic inequalities. Method of substitution. Rational coefficients

• Strict linear inequalities.Strict linear inequalities. Factorization of quadratic trinomial

• Strict linear inequalities.Strict inequalities reduced to linear inequalities. Method of substitution. Distributive law

• Strict linear inequalities.Strict inequalities reduced to linear inequalities. Method of substitution. Formulas of short multiplication

• Strict linear inequalities.Strict inequalities reduced to linear inequalities. Method of substitution. Properties of powers

• Strict linear inequalities.Strict inequalities reduced to linear inequalities. Method of substitution. Factorization of quadratic trinomial

• Strict linear inequalities.Strict inequalities reduced to linear inequalities. Properties of fractions. Distributive law

• Strict linear inequalities.Strict inequalities reduced to linear inequalities. Properties of fractions. Formulas of short multiplication

• Strict linear inequalities.Strict inequalities reduced to linear inequalities. Properties of fractions. Properties of powers

• Strict linear inequalities.Strict inequalities reduced to linear inequalities. Properties of fractions. Factorization of quadratic trinomial

• Strict quadratic inequalities.Elementary quadratic strict inequalities

• Strict quadratic inequalities.Quadratic strict inequalities containing fractions

• Strict quadratic inequalities.Strict inequalities. Method of substitution. Formulas of short multiplication. Integer coefficients

• Strict quadratic inequalities.Strict inequalities. Method of substitution. Distributive law. Rational coefficients

• Strict quadratic inequalities.Strict inequalities. Distributive law. Integer coefficients

• Strict quadratic inequalities.Strict inequalities. Formulas of short multiplication

• Strict quadratic inequalities.Strict inequalities. Distributive law. Rational coefficients

• Strict quadratic inequalities.Strict inequalities. Factorization of quadratic trinomial

• Strict quadratic inequalities.Strict inequalities. Properties of powers

• Strict quadratic inequalities.Fractional strict algebraic inequalities reduced to quadratic inequalities

• Strict quadratic inequalities.Strict inequalities. Grouping method

• Strict quadratic inequalities.Strict inequalities. Method of substitution. Distributive law. Integer coefficients

• Strict quadratic inequalities.Strict inequalities. Method of substitution. Formulas of short multiplication. Rational coefficients

• Strict quadratic inequalities.Strict inequalities. Method of substitution. Grouping method

• Strict quadratic inequalities.Strict inequalities. Method of substitution. Factorization of quadratic trinomial

• Strict quadratic inequalities.Fractional strict inequalities. Method of substitution. Distributive law. Integer coefficients

• Strict quadratic inequalities.Fractional strict inequalities. Method of substitution. Distributive law. Rational coefficients

• Strict quadratic inequalities.Fractional strict inequalities. Method of substitution. Formulas of short multiplication. Integer coefficients

• Strict quadratic inequalities.Fractional strict inequalities. Method of substitution. Formulas of short multiplication. Rational coefficients

• Weak quadratic inequalities.Elementary quadratic weak inequalities

• Weak quadratic inequalities.Quadratic weak inequalities containing fractions

• Weak quadratic inequalities.Weak inequalities. Distributive law. Integer coefficients

• Weak quadratic inequalities.Weak inequalities. Formulas of short multiplication

• Weak quadratic inequalities.Weak inequalities. Distributive law. Rational coefficients

• Weak quadratic inequalities.Weak inequalities. Factorization of quadratic trinomial

• Weak quadratic inequalities.Weak inequalities. Properties of powers

• Weak quadratic inequalities.Fractional algebraic weak inequalities reduced to quadratic inequalities

• Weak quadratic inequalities.Weak inequalities. Grouping method

• Weak quadratic inequalities.Weak inequalities. Method of substitution. Distributive law. Integer coefficients

• Weak quadratic inequalities.Weak inequalities. Method of substitution. Distributive law. Rational coefficients

• Weak quadratic inequalities.Weak inequalities. Method of substitution. Formulas of short multiplication. Integer coefficients

• Weak quadratic inequalities.Weak inequalities. Method of substitution. Formulas of short multiplication. Rational coefficients

• Weak quadratic inequalities.Weak inequalities. Method of substitution. Grouping method

• Weak quadratic inequalities.Weak inequalities. Method of substitution. Factorization of quadratic trinomial

• Weak quadratic inequalities.Fractional weak inequalities. Method of substitution. Distributive law. Integer coefficients

• Weak quadratic inequalities.Fractional weak inequalities. Method of substitution. Distributive law. Rational coefficients

• Weak quadratic inequalities.Fractional weak inequalities. Method of substitution. Formulas of short multiplication. Integer coefficients

• Weak quadratic inequalities.Fractional weak inequalities. Method of substitution. Formulas of short multiplication. Rational coefficients

• Strict algebraic high-degree inequalities.Strict high-degree inequalities. Bezout theorem. Integer roots

• Strict algebraic high-degree inequalities.Strict high-degree inequalities. Bezout theorem. Irrational roots

• Strict algebraic high-degree inequalities.Strict high-degree inequalities. Bezout theorem. Integer roots

• Strict algebraic high-degree inequalities.Fractional strict inequalities. Bezout theorem

• Strict algebraic high-degree inequalities.Strict high-degree inequalities. Grouping method

• Strict algebraic high-degree inequalities.Strict high-degree inequalities. Perfect square

• Strict algebraic high-degree inequalities.Strict high-degree inequalities. Bezout theorem. Irrational roots

• Strict algebraic high-degree inequalities.Strict inequalities. Grouping method

• Strict algebraic high-degree inequalities.Strict inequalities. Difference of squares

• Strict algebraic high-degree inequalities.Strict inequalities. Factorization of quadratic trinomial

• Strict algebraic high-degree inequalities.Strict inequalities. Properties of fractions

• Strict algebraic high-degree inequalities.Strict inequalities. Difference and sum of cubes

• Strict algebraic high-degree inequalities.Strict inequalities. Method of substitution

• Weak algebraic high-degree inequalities.Weak high-degree inequalities. Bezout theorem. Integer roots

• Weak algebraic high-degree inequalities.Weak high-degree inequalities. Bezout theorem. Irrational roots

• Weak algebraic high-degree inequalities.Weak high-degree inequalities. Bezout theorem. Integer roots

• Weak algebraic high-degree inequalities.Fractional weak inequalities. Bezout theorem

• Weak algebraic high-degree inequalities.Weak high-degree inequalities. Grouping method

• Weak algebraic high-degree inequalities.Weak high-degree inequalities. Perfect square

• Weak algebraic high-degree inequalities.Weak high-degree inequalities. Bezout theorem. Irrational roots

• Weak algebraic high-degree inequalities.Weak inequalities. Formulas of short multiplication

• Weak algebraic high-degree inequalities.Weak inequalities. Formula of difference of squares

• Weak algebraic high-degree inequalities.Weak inequalities. Factorization of quadratic trinomial

• Weak algebraic high-degree inequalities.Weak inequalities. Properties of fractions

• Weak algebraic high-degree inequalities.Weak inequalities. Difference and sum of cubes

• Weak algebraic high-degree inequalities.Weak inequalities. Method of substitution

• Strict fractional inequalities.Elementary fractional strict algebraic inequalities

• Strict fractional inequalities.Strict fractional algebraic inequalities reduced to strict linear inequalities

• Strict fractional inequalities.Strict fractional algebraic inequalities reduced to strict quadratic inequalities

• Strict fractional inequalities.Strict fractional algebraic inequalities reduced to strict cubic inequalities

• Strict fractional inequalities.Strict fractional algebraic inequalities reduced to strict biquadratic inequalities

• Strict fractional inequalities.Strict fractional algebraic inequalities reduced to strict quadratic inequalities. Method of substitution

• Weak fractional inequalities.Elementary fractional weak algebraic inequalities

• Weak fractional inequalities.Fractional weak algebraic inequalities reduced to linear inequalities

• Weak fractional inequalities.Fractional weak algebraic inequalities reduced to quadratic inequalities

• Weak fractional inequalities.Fractional weak algebraic inequalities reduced to cubic inequalities

• Weak fractional inequalities.Fractional weak algebraic inequalities reduced to biquadratic inequalities

• Weak fractional inequalities.Fractional weak algebraic inequalities reduced to quadratic inequalities. Method of substitution