Five-Minute Check (over Lesson 1–5)
CCSS
Then/Now
New Vocabulary
Key Concept: And Compound Inequalities
Example 1: Solve an And Compound Inequality
Key Concept: Or Compound Inequalities
Example 2: Solve an Or Compound Inequality
Example 3: Solve Absolute Value Inequalities
Key Concept: Absolute Value Inequalities
Example 4: Solve a Multi-Step Absolute Value Inequality
Example 5: Real-World Example: Write and Solve an
Absolute Value Inequality
Mathematical Practices
5 Use appropriate tools strategically.
You solved one-step and multi-step inequalities.
•  Solve compound inequalities.
•  Solve absolute value inequalities.
•  compound inequality
•  intersection
•  union
Solve an And Compound Inequality
Solve 10 ≤ 3y – 2 < 19. Graph the solution set on a
number line.
What is the solution to 11 ≤ 2x + 5 < 17?
A.
B.
C.
D.
Solve an Or Compound Inequality
Solve x + 3 < 2 or –x ≥ –4. Graph the solution set on
a number line.
What is the solution to x + 5 < 1 or –2x ≥ –6?
Graph the solution set on a number line.
A.
B.
C.
D.
Solve Absolute Value Inequalities
A. Solve 2 > |d|. Graph the solution set on a
number line.
Steps for Absolute Value
1.  Get absolute value isolated and on the left side of the
equation.
2.  Set equal to both positive and negative answers.
3.  Solve for equations to get two end points of graph.
4.  Shade OUT for greater than, and IN for less than.
5.  Solid dot for EQUAL TO, open dot otherwise.
6.  Write down the region in set-builder notion.
Solve a Multi-Step Absolute Value Inequality
Solve |2x – 2| ≥ 4. Graph the solution set on a
number line.
What is the solution to |3x – 3| < 9? Graph the
solution set on a number line.
Write and Solve an Absolute Value
Inequality
A. JOB HUNTING To prepare for a job interview,
Hinda researches the position s requirements and
pay. She discovers that the average starting salary
for the position is $38,500, but her actual starting
salary could differ from the average by as much as
$2450. Write an absolute value inequality to
describe this situation.
A. HEALTH The average birth weight of a newborn
baby is 7 pounds. However, this weight can vary by
as much as 4.5 pounds. What is an absolute value
inequality to describe this situation?
B. HEALTH The average birth weight of a newborn
baby is 7 pounds. However, this weight can vary by
as much as 4.5 pounds. What is the range of birth
weights for newborn babies?
1.6 HW:
P. 45
12-30, 39-43, 67-71