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

Write your answer...

Submit

Still have questions?

Continue Learning about Math & Arithmetic

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

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.

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.

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

50

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".

equations have an = sign, inequalities do not

Mainly, in the case of simple inequalities, you have to remember that when multiplying or dividing by a negative number, the direction of the inequality changes, for example, from greater-than to less-than or vice versa. Also, for more complicated inequalities, such as those that involve polynomials or absolute values, additional steps are required.