Difference between revisions of "Solving Equations and Inequalities"
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** [https://courses.lumenlearning.com/ivytech-collegealgebra/chapter/using-the-quadratic-formula/ Using the Quadratic Formula] | ** [https://courses.lumenlearning.com/ivytech-collegealgebra/chapter/using-the-quadratic-formula/ Using the Quadratic Formula] | ||
** [https://courses.lumenlearning.com/ivytech-collegealgebra/chapter/introduction-other-types-of-equations/ Solving Other Types of Equations] (go through this section by clicking "next") | ** [https://courses.lumenlearning.com/ivytech-collegealgebra/chapter/introduction-other-types-of-equations/ Solving Other Types of Equations] (go through this section by clicking "next") | ||
| + | * [https://www.cliffsnotes.com/study-guides/algebra/algebra-i/inequalities-graphing-and-absolute-value/solving-equations-containing-absolute-value Solving Absolute Value Equations], Cliff's Notes | ||
NOTE: The same methods for solving equations can be used for solving inequalities. However, multiplying or dividing by a negative number on both sides of an inequality reverses the inequality sign. Examples of this: | NOTE: The same methods for solving equations can be used for solving inequalities. However, multiplying or dividing by a negative number on both sides of an inequality reverses the inequality sign. Examples of this: | ||
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* <math> 6 - y \ge x \implies y - 6 \le -x \implies y \le 6 - x</math> | * <math> 6 - y \ge x \implies y - 6 \le -x \implies y \le 6 - x</math> | ||
* <math> -2x > 24 \implies (-2x)/(-2) < 24/(-2) \implies x < -12 </math> | * <math> -2x > 24 \implies (-2x)/(-2) < 24/(-2) \implies x < -12 </math> | ||
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| + | ===More Examples of Solving Inequalities=== | ||
| + | * [https://www.youtube.com/watch?v=eNxruTEpY4o Solving Linear Inequalities], patrickJMT on YouTube | ||
| + | * [https://www.youtube.com/watch?v=t54ccHYVhoo Solving Quadratic Inequalities], patrickJMT on YouTube | ||
| + | * [https://www.youtube.com/watch?v=WZqZPLaK1cg Solving Quadratic Inequalities: More Examples], patrickJMT on YouTube | ||
| + | * [https://www.youtube.com/watch?v=OzmqAZZd88g Solving Absolute Value Inequalities], patrickJMT on YouTube | ||
| + | * [https://prep.math.lsa.umich.edu/cgi-bin/pmc/crtopic?sxn=8&top=3&crssxn=prep Solving Inequalities with Radicals], University of Michigan Math Prep | ||
Revision as of 14:03, 14 September 2021
Contents
Resources and Examples
General Resources
- Solving Equations and Inequalities, Paul's Online Notes
- Solving Equations and Inequalities, Khan Academy
- Rules for Solving Inequalities, Math Is Fun
Solving Different Types of Equations
- College Algebra from Lumen Learning:
- Solving Absolute Value Equations, Cliff's Notes
NOTE: The same methods for solving equations can be used for solving inequalities. However, multiplying or dividing by a negative number on both sides of an inequality reverses the inequality sign. Examples of this:
More Examples of Solving Inequalities
- Solving Linear Inequalities, patrickJMT on YouTube
- Solving Quadratic Inequalities, patrickJMT on YouTube
- Solving Quadratic Inequalities: More Examples, patrickJMT on YouTube
- Solving Absolute Value Inequalities, patrickJMT on YouTube
- Solving Inequalities with Radicals, University of Michigan Math Prep
