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What is the difference between solving multi step equations and multi step inequalities?
The process is similar except for two things:
- if you multiply or divide by a negative number then the inequality sign must if reversed.
- at the end, instead of the solution (or solutions), you will have an interval (or disjoint intervals). This will depend on whether the inequality is linear or quadratic (or of a higher power).
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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".
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.
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 are the steps to solving equations and inequalities?
Just keep doing the same thing to both sides of the equation at every step.
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.
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".
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.
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.
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.
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 are the steps to solving equations and inequalities?
Just keep doing the same thing to both sides of the equation at every step.
What is the Difference between solving equations and inequalities?
When solving an equation, you are looking for a specific answer or answers. However, when solving inequalities, you are only looking for what an answer could be (for example, your answer could be less than 5 or greater than 32).
What are some differences between equations and inequalities?
The main difference is that when solving inequalities, if you multiply or divide by a negative number you have to be careful, since you then also have to switch the sign (for example, change a "less-than" sign to a "greater-than" sign). If you multiply or divide by an expression that contains a variable, you have to consider the two cases: that such an expression might be positive, or that it might be negative.
