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Entrance Procedures

  1. Enter the room quietly.
  2. Pick up any handouts.
  3. Head directly to your seat.
  4. Get out your homework.
  5. Start on the warm-up problem(s) for today.

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Section 2-4B: �Absolute Value Inequalities

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|x| = 2

{-2, 2}

"The distance from ZERO to x is 2 units.“

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|x| > 1

{x: x < -1 or x > 1}

"The distance from ZERO to x is greater than 1 unit.” DISJUNCTION

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|x| < 1

{x: -1 < x < 1}

"The distance from ZERO to x is less than 1 unit.” CONJUNCTION

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Absolute Value Inequalities

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​

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An absolute value inequality can be represented

as a compound inequality.

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The type of compound inequality (and/or) depends on

the type of inequality symbol used.

 

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Absolute Value Inequalities

less than makes the and sandwich

greator* keeps the core and adds one more

 

 

 

 

OR

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Solving Absolute Value Inequalities

  • Step 1: Isolate the absolute value expression. (Note: If the number on the other side is negative, proceed with caution.)
  • Step 2: Determine which type of compound inequality will be used.
  • Step 3: Write the new inequality (or inequalities) and solve as normal.

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Example 1

|3 – 2t| < 5

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You Do

|3 – k| < 2

 

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Example 2

|2d – 1| + 3 ≥ 8

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You Do

|3x + 2| - 2 > 2

 

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Example 3

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Example 4

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Homework

Page 75 # 9–25 EOO

*Show ALL work.

*Graph all answers.

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NOTE: Chapter 2 Test on Friday!

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MATH MINUTES!

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2

3

 

 

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9

 

 

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Scavenger Hunt

  • You can start at any problem. Try to spread out around the room.
  • Write the letter and the problem on your paper. Solve the inequality (show all work).
  • Look for the answer you found at the bottom of one of the other problems. Go to that problem next and repeat the process.
  • Once you solve the last problem, it will take you back to where you started. Check in with me when you are done.

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