It is important to know several techniques for solving equations and inequalities because one may work better than another in a particular situation.
it often simplifies arithmetic
The boundary of an inequality is formed by the corresponding equation.
Study everything - that's your best bet. Important subjects probably include: Polynomials, Exponents, Radicals, Solving Equations, Solving Inequalities, Absolute Value Equations and Inequalities, Lines, Word Problems, Systems of Equations (2x2's), Factoring, Division of Polynomials, Quadratics, Parabolas, Complex Numbers, Algebraic Fractions, Functions
Just keep doing the same thing to both sides of the equation at every step.
Solving inequalities and equations are the same because both have variables in the equation.
It is important to know several techniques for solving equations and inequalities because one may work better than another in a particular situation.
They both have variables.
it often simplifies arithmetic
Bogomol'nyi-Prasad-Sommerfield bound is a series of inequalities for solutions. This set of inequalities is useful for solving for solution equations.
Solving linear systems means to solve linear equations and inequalities. Then to graph it and describing it by statical statements.
The boundary of an inequality is formed by the corresponding equation.
It makes it allot less confusing. But, that is just my opinion.
Study everything - that's your best bet. Important subjects probably include: Polynomials, Exponents, Radicals, Solving Equations, Solving Inequalities, Absolute Value Equations and Inequalities, Lines, Word Problems, Systems of Equations (2x2's), Factoring, Division of Polynomials, Quadratics, Parabolas, Complex Numbers, Algebraic Fractions, Functions
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Just keep doing the same thing to both sides of the equation at every step.
One important difference between solving equations and solving inequalities is that when you multiply or divide by a negative number, then the direction of the inequality must be reversed, i.e. "less than" becomes "greater than", and "less than or equal to" becomes "greater than or equal to".Actually, from a purist's sense, the reversal rule also applies with equations. Its just that the reversal of "equals" is still "equals". The same goes for "not equal to".