# Lesson 3-6 Part 1

```Lesson 3-6
Compound Inequalities
August 22, 2014
Before Beginning Something New
• IMPORTANT REMINDER!!!!!!
• Whatever side the variable starts
on in your inequality is the same
side the variable MUST be on in
switch the inequality symbol.
Example
9 + 4t &gt; 21
• The variable is on the left side.
• So my answer will also show the variable
on the left side. t &gt; 3
• I can switch the variable to the other
side, but I also MUST switch the variable.
3&lt;t
Put It to Use
• Hopefully you understand inequalities better
now. Let’s put it to practice.
• Take about 5 minutes to work some problems
from the “Reteaching” worksheet for 3-4.
• We will then take our Unit 1 Quiz A before
beginning something new.
Daily Learning Target
• I will solve and graph inequalities
containing the word and.
• I will solve and graph inequalities
containing the word or.
Example 1 – Writing a Compound
Inequality
A) All real numbers that are greater than -2 and
less than 6
n &gt; -2 and n &lt; 6
-2 &lt; n and n &lt; 6
-2 &lt; n &lt; 6
B) All real number that are less than 0 or
greater than or equal to 5
t &lt; 0 or t ≥ 5
Example 2 – Solving a Compound
Inequality with AND
-3 ≤
6 −𝑞
9
≤3
Answer: -21 ≤ q ≤ 33
Example 3 – Solving a Compound
Inequality with OR
3t + 2 &lt; -7 or -4t + 5 &lt; 1
Answer: t &lt; -3 OR t &gt; 1