Solving Linear Inequalities & Interval Notation 
Inequalities are just equations with an "<" or ">" instead of "=". In this chapter, we'll look at how to solve a few different types of "linear" inequalities: ones with just X, where you present the answer in Interval Notation, and ones with X & Y, where you shade one side of the line or another. We'll also cover systems of inequalities, "and" vs "or", etc. For other types of inequalities, try this page. 

Your search for inequalities returned 14 hits:
Quadratic InequalitiesThis video is all about what to do when your quadratic "equation" suddenly has a "<" or ">" instead of an equals sign. Not surprisingly, to solve "quadratic inequalities" we'll use a fun combination of the "quadratic" methods from this chapter (factoring mostly) and solving inequalities stuff from the previous chapter. 

Triangle Inequalities & Side Lengths:

These videos cover a few theorems that all involve "inequalities". In previous chapters, you were always trying to prove two triangles or segments congruent. In this one, you're trying to prove things unequal, whether it's saying that one side in a particular triangle is longer than another side, or that a side in one triangle is longer than a side in another. 

Rational & Polynomial Inequalities 
In this chapter we'll return to the Big Three of inequalities  number lines, test points, and interval notation  for perhaps the final time (nostalgic yet?). 

Polynomial InequalitiesNot so different from the quadratic inequalities of the previous video, just more spots on number line! Plus, since there's more factors to play with (as your egghead teacher might say), they can pull some fun (their word) and/or mean tricks (mine) with exponents and repeated roots. 

Solving Absolute Value Equations & Inequalities 
Absolute value signs (i.e. x+3) wreak havoc on equations and inequalities, often resulting in multiple answers and interval notation, but I'll give you simple steps to memorize for dealing with them. If you need to graph absolute value functions, check out thelibrary functions page. 

Systems of Inequalities with both X & YSystems, by now you've learned, means "two equations at once." And we get to color in one side of two lines at the same time! I know I said the chapter peaked last video, but this really is the bestbestbest of inequalities. A key skill in linear programming. 

Rational InequalitiesWhat happens when you put two polynomials above each other in an inequality? Believe it or not, it's not that much worse than if there was no fraction, just gotta be careful with open dots! (For a refresher on finding common denominators when x's and x^{2}'s are involved, check out my solving rational equations video.) 

Solving Quadratic Equations 
"Quadratic" means "squared", for some reason, so this chapter is about solving equations with x^{2}'s in them. You'll have to learn several tricky techniques  square rooting, factoring, completing the square, and/or the Quadratic Formula  but I give you tips to make them easier, and to decide which to use in different situations. 
