Showing posts with label

**inequality**. Show all postsShowing posts with label

**inequality**. Show all posts## Friday, February 15, 2013

### Intermediate Algebra Exam #1

Click on the 10 question exam covering topics in chapters 1 and 2. Give yourself one hour to try all of the problems and then come back and check your answers.

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Absolute value,
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equation,
exam,
graph,
graphing,
inequalities,
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reflection,
simplify,
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solve,
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## Saturday, February 9, 2013

### Elementary Algebra Exam #1

Click on the 10 question exam covering topics in chapters 1 and 2. Give yourself one hour to try all of the problems and then come back and check your answers.

[ **PDF**-> Elementary Algebra Sample Exam #1 ]

**Simplify:****Solve:**

Elementary Algebra Exam #1 by John Redden is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License.

## Thursday, November 15, 2012

### Polynomial and Rational Inequalities

Up to this point we have been solving quadratic inequalities. The technique involving sign charts extends to solving polynomial inequalities of higher degree.

**Solve**.

**Step 1**: Determine the critical numbers, which are the roots or zeros in the case of a polynomial inequality.

**Step 2**: Create a sign chart.

**Step 3**: Use the sign chart to answer the question.

Rational inequalities are solved using the same technique. The only difference is in the critical numbers. It turns out that the

*y*-values may change from positive to negative at a restriction. So we will

**in our list of critical numbers.**

*include the zeros of the denominator***Solve**.

**Tip**: Always use open dots for critical numbers that are also zeros of the denominator, or restrictions. This reminds us that they are restrictions and should not be included in the solution set even if the inequality is inclusive.

Use open dots for all of the critical numbers when a strict inequality is involved.

**YouTube Videos**:

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