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
your answer unless you also
switch the inequality symbol.
Example
9 + 4t > 21
• The variable is on the left side.
• So my answer will also show the variable
on the left side. t > 3
• I can switch the variable to the other
side, but I also MUST switch the variable.
3<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 > -2 and n < 6
-2 < n and n < 6
-2 < n < 6
B) All real number that are less than 0 or
greater than or equal to 5
t < 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 < -7 or -4t + 5 < 1
Answer: t < -3 OR t > 1
YOUR TURN
1) All real numbers that are between 5 and 7
2) 3 < 4p – 5 ≤ 15
3) 15 ≤
20+11+𝑘
3
≤ 19
4) 4d + 5 ≥ 13 or 7d – 2 < 12
5) 5y + 7 ≤ -3 or 3y – 2 ≥ 13
Homework
Page 99
Problems 1, 2, 4, 5, 6, 8