Problem Solving Inequalities

Problem Solving Inequalities-33
Absolute Value Equations – In this section we will give a geometric as well as a mathematical definition of absolute value.

Absolute Value Equations – In this section we will give a geometric as well as a mathematical definition of absolute value.

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In this section we will solve this type of equation.

Equations with Radicals – In this section we will discuss how to solve equations with square roots in them.

We will work applications in pricing, distance/rate problems, work rate problems and mixing problems.

Equations With More Than One Variable – In this section we will look at solving equations with more than one variable in them.

Take one thing at the time preferably beginning by isolating the variable from the constants.

When solving multi-step inequalities it is important to not forget to reverse the inequality sign when multiplying or dividing with negative numbers.Note that some sections will have more problems than others and some will have more or less of a variety of problems.Most sections should have a range of difficulty levels in the problems although this will vary from section to section.Included are examples in distance/rate problems and work rate problems.Equations Reducible to Quadratic Form – Not all equations are in what we generally consider quadratic equations.We define solutions for equations and inequalities and solution sets.Linear Equations – In this section we give a process for solving linear equations, including equations with rational expressions, and we illustrate the process with several examples.-3 The graph for x ≥ 2 Inequalities that have the same solution are called equivalent.There are properties of inequalities as well as there were properties of equality.We will concentrate on solving linear inequalities in this section (both single and double inequalities). Polynomial Inequalities – In this section we will continue solving inequalities.However, in this section we move away from linear inequalities and move on to solving inequalities that involve polynomials of degree at least 2.

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