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

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Q: What are the steps to solving equations and inequalities?
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Why is it important to know various techniques for solving systems of equations and inequalities?

It is important to know several techniques for solving equations and inequalities because one may work better than another in a particular situation.


How are solving inequalities differ from solving equations?

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.


Why should you clear fractions when solving liner equations and inequalities?

it often simplifies arithmetic


How do you study for algebra 1 finals?

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


What is one important difference between solving equations and solving inequalities?

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

How are the rules for solving inequalities similar to those for solving equations?

Solving inequalities and equations are the same because both have variables in the equation.


Why is it important to know various techniques for solving systems of equations and inequalities?

It is important to know several techniques for solving equations and inequalities because one may work better than another in a particular situation.


How are solving inequalities differ from solving equations?

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.


Why should you clear fractions when solving liner equations and inequalities?

it often simplifies arithmetic


What is the Bogomol'nyi bound?

Bogomol'nyi-Prasad-Sommerfield bound is a series of inequalities for solutions. This set of inequalities is useful for solving for solution equations.


Compare and contrast equations and inequalities?

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.


What does it mean by solving linear systems?

Solving linear systems means to solve linear equations and inequalities. Then to graph it and describing it by statical statements.


Why should you clear decimals when solving linear equations and inequalities?

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


Explain how solving inequalities is alike and different from solving equations?

Most of the steps are the same. The main difference is that if you multiply or divide both sides of an inequality by a NEGATIVE number, you must change the direction of the inequality sign (for example, change "less than" to "greater than").


How do you study for algebra 1 finals?

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


You know that equations and inequalities have different solution symbols, therefore, how many solutions will each one of them have when solving for the variable?

50


What is one important difference between solving equations and solving inequalities?

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".