Name ______________________________ Date___________ #6 Chapter #____3_____Assignment Section #___3.6______Page Number___200‐206_____ Section Title: Compound Inequalities
Assignment: Worksheet Notes Complete Assignment Complete Teacher Signature/Date:
____________________
Target Goals: The students will be able to: 

To solve and graph compound inequalities containing the word “and” or “or”
Describe the solution set of an inequality using interval notation.
Notes:
Define: Compound Inequalities _______________________________________________
____________________________________________________________________________
Information about Compound Inequalities
Containing “and”
Both inequalities are true at the
same time.
Containing “or”
Either of the inequalities are
true, or both of the inequalities
are true.
The graph is the intersection of
the graphs of the two
inequalities. (Where the
graphs overlap).
The graph is the union of the
graphs of the two inequalities.
(Where either of the graphs
exist).
For Example:
A “Union” of two sets contains all parts from both sets. The word “OR” is used for a Union. An “Intersection” of two sets contains only the parts that are in common. The word “AND”, is used for an intersection. Sample: Set A contains all 26 red cards from a deck of cards Set B contains all of the face cards (Jacks, Queens, and Kings) The “Union” of the 2 sets, Set A “OR” Set B would be all of the cards in both sets. The “Intersection” of the two sets, Set A “AND” Set B would be the red jacks, the red queens, and the red Kings. More Notes:
1‐5 Solve and graph each compound inequality then describe the solution set in interval notation. Show work below the problem. #1 5 < k – 2 < 11 Graph Solve_________________ 0
Interval Notation_________ #2 3 < ‐2p ‐ 3  12 Graph Solve_________________ 0
Interval Notation_________ #3 3
11  k
 4 4
Solve_________________ Graph 0
Interval Notation_________ #4 6b – 1 ≥ 41 or 2b + 1  11 Graph Solve_________________ 0
Interval Notation_________ #5 5 – m > 4 or 7m > 35 Solve_________________ Graph 0
Interval Notation_________ 6‐9 Write each interval notation as an inequality then graph. #7 Interval Notation: (-,0] or (5, ) #6 Interval Notation : [3, ) Inequality_________________ Inequality_________________ Graph Graph 0
0
#8 Interval Notation : (‐1, 10] #9 Interval Notation: [‐50, 100) Inequality_________________ Inequality_________________ Graph Graph 0
0
10‐11 Write each inequality in interval notation then graph. #10 Inequality: x < ‐2 or x ≥ 1 #11 Inequality: ‐3  x < 4 Interval Notation :___________ Interval Notation:____________ Graph Graph 0
0
12‐13 Write a compound inequality that each graph could represent. #12 Graph )
[ -2 0 1
Inequality: ___________________ #13 Graph [
-3 0
)
4
Inequality: _____________ When you are done with assignment #6 and you have gone on line to grade the
assignment, with a RED pen, assess your learning!!
Target Goal: The students will be able to:
 To solve and graph compound inequalities containing the word
“and” or “or”
 Describe the solution set of an inequality using interval notation.
ASSIGNMENT‐‐#6 Worksheet
Get it _________Needs more Practice________Need extra help_______
#6‐‐Chapter Three Section 3.6 Worksheet 1‐12 Solve and graph each compound inequality then describe the solution set in interval notation. Show work below the problem. #1 ‐4 < k + 3 < 8 Solve_________________ Graph 0
Interval Notation_________ #2 5  y + 2  11 Solve_________________ Graph 0
Interval Notation_________ #3 3 < 4p – 5  15 Graph Solve_________________ 0
Interval Notation_________ #4 15 
20  11  k
 19 3
Solve_________________ Graph 0
Interval Notation_________ #5 1 2x  7

5 4
2
Solve_________________ Graph Interval Notation_________ Solve_________________ Graph #6 3 
6q
 3 9
0
0
Interval Notation_________ #7 6b – 1 < ‐7 or 2b + 1 > 5 Graph Solve_________________ 0
Interval Notation_________ #8 5 + m > 4 or 7m < ‐35 Graph Solve_________________ 0
Interval Notation_________ #9 4d + 5 ≥ 13 or 7d – 2 < 12 Graph Solve_________________ 0
Interval Notation_________ #10 7 – c < 1 or 4c  12 #11 5y + 7  ‐3 or 3y – 2 ≥ 13 Solve_________________ Graph 0
Interval Notation_________ Solve_________________ Graph 0
Interval Notation_________ #12 5z – 3 > 7 or 4z – 6 < ‐10 Solve_________________ Graph 0
Interval Notation_________ 13‐16 Write each interval notation as an inequality then graph. #14 Interval Notation: (-, 1] or (3, ) #13 Interval Notation : (-, 2] Inequality_________________ Inequality_________________ Graph Graph 0
0
#15 Interval Notation : [‐4, 5] #16 Interval Notation: [6, ) Inequality_________________ Inequality_________________ Graph Graph 0
0
17‐20 Write each inequality in interval notation then graph. #17 Inequality: x < ‐3 or x > 1 #18 Inequality: x  0 and x ≥‐10 Interval Notation :___________ Interval Notation:____________ Graph Graph 0
0
#19 Inequality: x < ‐5 or x ≥ 5 Interval Notation :___________ Graph 0
#20 Inequality: ‐5  x < 11 Interval Notation:____________ Graph 0
21‐24 Write a compound inequality that each graph could represent. #21 Graph #22 Graph [
(
)
0 2
-2 0
4
Inequality: ______________ Inequality: _____________ )
(
#23 Graph )
[ #24 Graph -11
10
0
-1 0 0.5
Inequality: ______________ Inequality: _____________ 25‐27 Review: Evaluate each expression if a = 2, b = ‐4, c = 3.
6 a  b  c
c  b  a
#26 #27 #25 5a  2b2 2b  3c
3
28‐30 Review: Solve each inequality. #30 2 + 4r ≥ 5(r – 1) #28 5 < 6b + 3 #29 12n  3n + 27 )
6