Warm UpWrite a compound inequality for each graph. Remember include “AND” “OR” in your answer.

1.

2.

3.

4.

Find the Pattern WSToday we are combining solving absolute value equations and solving inequalities into one idea—solving absolute value inequalities.

Let’s see if you can find a pattern.

1.6 Solving an Absolute Value InequalitySarah is at mile marker 23. She is more than 13 miles from her exit. Where could Sarah’s exit be located?

Organizer

You will be given one in class.

Examples

words: where are all the values that are ____________________away from _____?

number line:

solutions:

one continuous region or two separate regions?

Examples words:

number line:

solutions:

one continuous region or two separate regions?

Examples6. words:

number line:

solutions:one continuous region or two separate regions?

Examples

words:

number line:

solutions:

one continuous region or two separate regions?

Examples words:

number line:

solutions:

one continuous region or two separate regions?

Examples words:

number line:

solutions:

one continuous region or two separate regions?

ReflectionExplain the differences between and .

Explain the differences between and .

Examples

______ or ______

______ or ______

𝟑 𝒙

Examples

𝟒 𝒙

Examples

𝟑 𝒙

Examples

𝟔 𝒙

Examples18.

𝟓 𝒙

Examples19.

𝟐 𝒙

Examples20.

𝟐 𝒙

HomeworkLesson 1.6 Part 2Pg. 45 #’s 7-10, 16-19