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BlakeThe 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.
