## Section 2.8 - Solving Inequalities in One Variable

**Essential Question(s):**

Explain how algebraic and graphical techniques are used together to solve rational inequalities.

**Follow**__these three steps__to complete this "flip" lesson.**STEP 1: Preparation**

__Title__your spiral with the heading above and

__copy__the essential question(s).

**STEP 2: Vocabulary & Examples**

__Copy__and

__define__the following of vocabulary. This can be any tables, properties, theorems, terms, phrases or postulates listed.

__Review__the following examples and

__copy__what is necessary for you. Use the guiding questions for your cornell notes.

__Polynomial Inequalities (pages 257-260)__

- What are some general characteristics of polynomial inequalities?
- What is a sign chart?
- How can you find where a polynomial is zero, positive, or negative (Ex 1 & paragraphs after up to exploration box)
- How do you solve a polynomial inequality analytically? (Ex 2)
- How do you solve a polynomial inequality graphically? (Ex 3)
- How do you solve a polynomial inequality with Unusual answers? (Ex 4)

__Rational Inequalities (pages 260-262)__

- How polynomial and rational functions compare, and what changes are made to the sign chart? (paragraph above Ex 5)
- How do you make a sign chart for a rational function? (Ex 5)
- How do you solve a rational inequality by combining fraction? (Ex 6)

__Other Inequalities (pa__ges 262)

- How do you solve an inequality involving a radical? (Ex 7)
- How do you solve an inequality involving an absolute value? (Ex 8)

__Applications (pages 262- 264)__

- Redesigning a box (Ex 9 - optional)
- Redesigning the juice Can (Ex 10)

**STEP 3: Reading**

__Read__the following page(s) and take any extra notes as needed.

- Read pages 257-264.
- Make sure to read the paragraphs between the examples.