Back to Lesson 4-5
Name
Name
4-4B
page 2
REPRESENTATIONS
Objective J: Describe unions and intersections of
1. RS
R
1
2
1
Ź1 3 Ź1 Ź 3 Ź 3
0
1
3
2
3
1
1
13
Ź Ź Ź Ź
Ź4 Ź3 Ź2 Ź1
0
1
2
3
4
h
18. The set of all numbers h such that h < −2 or h > 2.
U
19. The set of all numbers t such that t > −2 and t < 4.
Ź Ź Ź Ź
Ź4 Ź3 Ź2 Ź1 0
1
2
5. Draw two line segments that intersect in a point.
REPRESENTATIONS
3
4
b.
B
none
A, B, C
&
"
%
Objective J
Ź3
Ź Ź
8. The set of all numbers r such that r ≥ 2 or r ≤ 3.
a.
9. The set of all numbers y ≥ −17.8 and y ≥ 15.
a.
b. line
Multiples
of 6
b.
C
n
Ź2
Ź1
0
1
Ź
a.
b. two rays
Multiples
of 5
4
Ź1 7
a.
line segment including both endpoints
7. The set of all numbers f such that f ≤ −0.3 or f ≥ 5.
B
Multiples
of 4
Sample:
6. The set of all numbers n such that −1 __47 ≤ n ≤ 0.
describe relationships among sets.
A
#
$
In 6–9, a. graph the solutions to the inequalities and b. describe the
solution set geometrically.
Objective K: Use Venn diagrams and hierarchies to
21. a. Let A = the set of multiples of 4, B = the set of
multiples of 5, and C = the set of multiples of 6.
Make a Venn diagram relating sets A, B, and C.
.
AB, AC, BC
A
a
20. The set of all numbers a such that a > −2 or a < 4.
-
+
B
C
17. The set of all numbers b such that b ≤ −1 and b ≤ 4.
c. Which sets include 117?
,
4. Give all possible names of the figure.
C
d. Which sets include 120?
3. JK ∩ LM = ∅
M
K
16. The set of all numbers j such that j ≤ 4 and j > 7.
b. Which sets include 35?
2. KM
K
S
p
15. The set of all numbers p such that p ≥ − __23 and p < 1.
REPRESENTATIONS
See pages 271–275 for objectives.
In 1–3, draw a figure to represent the following symbols.
Y
Ź Ź Ź
Questions on SPUR Objectives
SKILLS Objective B
inequalities geometrically.
In 14–20, graph the set.
14. The set of all numbers x such that x > −2 and x > 4.
4-5A Lesson Master
ray
G
Ź Ź Ź
ŹŹŹ Ź
S
Z
e. Describe the members of A ∩ B.
the set of multiples of both 4 and 5, or
the set of multiples of 20
In 10 and 11, complete the following inequality based on the graph below.
ŹŹŹŹŹŹŹŹŹ
The set of all numbers x such that
f. Describe the members of A ∪ (B ∩ C ).
the union of the set of multiples of 4 and
the set of multiples of 30 (the set of
multiples of both 5 and 6)
Transition Mathematics
UCSMP_SMP08_NL_TM1_TR1_C04_184-2195 195
Y
10.
195
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Name
11.
Ź
−48 ≤ x < −36
.
z ≤ 3 _12 or z ≥ 6 _58
.
[
The set of all numbers z such that
Transition Mathematics
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UCSMP_SMP08_NL_TM1_TR1_C04_184-2196 196
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Name
4-5B Lesson Master
4-5B
page 2
REPRESENTATIONS
SKILLS Objective B: Draw and identify basic figures of geometry and
Objective J: Describe unions and intersections of
inequalities geometrically.
polygons.
9. What inequality is represented by this graph?
In 1–3, draw a figure to represent the following symbols.
1. AB
x
2. DR
3. PY
Ź4 Ź3 Ź2 Ź1
0
1
2
3
4
x < 0 or x ≥ 1
1
%
10. What inequality is represented by this graph?
3
#
Q
:
"
In 4 and 5, name each figure in two ways.
L
M
LM, LN, or MN
N
−2 ≤ p < 1
m
11. a. Graph the solution set of −5.5 < m < 2.
Ź6 Ź5 Ź4 Ź3 Ź2 Ź1
Z
In 6–8, draw a figure that matches each condition.
12. a. Graph the solution set of t < -2 or t > 0.
7. AB and CD intersect in a point, P.
6. RS ∩ MN = S
3
$
#
Sample:
'
Ź Ź Ź Ź
UCSMP_SMP08_NL_TM1_TR1_C04_184-2197 197
one ray that shows z > 0.5
)
Transition Mathematics
[
13. a. Graph the solution set of z ≥ −3.5 and z > 0.5.
(
b. Describe the solution set.
&
A24
U
Ź Ź Ź Ź
two rays, one that shows t < −2 and the other
that shows t > 0, with endpoints not included
%
1
/
8. EF and GH intersect in the empty set.
2
b. Describe the solution set.
"
4
.
1
a segment from −5.5 to 2 that does not include
either endpoint
MZ, MN
N
5.
0
b. Describe the solution set.
M
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198
Copyright © Wright Group/McGraw-Hill
4.
Ź Ź Ź Ź
Transition Mathematics
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Transition Mathematics
SMP08_NL_TM1_TR_C01-06_A1-A42.inA24 A24
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