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Q: What is the similarities of solving equations and inequalities?

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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

equations have an = sign, inequalities do not

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".

Related questions

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.

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.

It makes it allot less confusing. But, that is just my opinion.

equations have an = sign, inequalities do not

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Just keep doing the same thing to both sides of the equation at every step.

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

Inequalities and equations are both the same because they are both mathematical expression and they both use the same steps EXCEPT for the end. Inequalities and equations are both different because equations have an equal sign, the answer is not an interval, and the answer is a specific answer. Not a range. While inequalities don't have an equal sign, its answer is an interval, and it's answer is in a range.

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".

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