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).
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.
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)
- 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)
- How do you solve an inequality involving a radical? (Ex 7)
- How do you solve an inequality involving an absolute value? (Ex 8)
- 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 the following page(s) and take any extra notes as needed.
- Read pages 257-264.
- Make sure to read the paragraphs between the examples.