Lesson 1.6: Solving Compound and Absolute Value Inequalities

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Lesson 1.6 Solving Compound and Absolute Value
Inequalities
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Objectives

• Solve Compound Inequalities
• Solve Absolute Value Inequalities

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Compound Inequalities

• Intersection --- AND
• Solve the following compound inequality the graph
  the solution set on a number line.
• You can solve an intersection each side
  separately or you can solve and intersection both
  sides together.

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Compound Inequalities

• Union --- OR
• Solve the following compound inequality and the
  graph the solution set on a number line.
• You must solve unions separately.

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Quick Check

• Solve the following compound inequalities and
  graph their solution sets on a number line.

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Absolute Value Inequalities

• GreatOR Than --- creates an OR
• Less Than --- creates an AND

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Examples

• Solve the following inequalities and graph the
  solution set on a number line.

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Quick Check

• Solve each inequality. Graph the solution set on
  a number line.
• Rachel is considering colleges to attend and
  determines that the average tuition among her
  choices is 3725 per year, but the tuition at a
  school could differ by as much as 1650 from the
  average. Write and solve an absolute value
  inequality to find the range of tuition.

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Writing an Absolute Value Inequality From a Graph
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Homework

• Page 45 and 46 --- 13 51 every other odd.
• Make sure you are studying for the Chapter 1
  Test practice tests and study guides are
  available on-line as well as in your book.
• Please read and take notes on Section 2.1
  Relations and Functions for the day after the
  test.