Math v70/ Worksheet 2.1: Interval Notation 1. In the first column of the table below, a set of numbers is described using set builder notation. For each set of numbers, (i) graph the set on a number line and (ii) describe the set using interval notation. Set Builder Notation Graph Interval Notation {r|x2-2} {x |x + 4}
Math v70/ Worksheet 2.1: Interval Notation 1. In the first column of the table below, a set of numbers is described using set builder notation. For each set of numbers, (i) graph the set on a number line and (ii) describe the set using interval notation. Set Builder Notation Graph Interval Notation {r|x2-2} {x |x + 4}
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section1.1: Real Numbers
Problem 30E
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![MMath U701U
Worksheet 2.1: Interval Notation
1. In the first column of the table below, a set of numbers is described using set builder notation. For each set of
numbers, (i) graph the set on a number line and (ii) describe the set using interval notation.
Set BuilderNotation
Graph
Interval Notation
{x |x2 -2}
0 or x >
8
{x |x + 4}
2. Simplify the given expression by performing the indicated set operation. Include a number line graph that
shows how you obtained your answer. Write your answer using interval notation.
a) [3,8)n(-2,4) =
b) [-3,8)U(-5,4) =
c) [-2, 00)U (3, 0) =
d) (-4,0) U(-x,7]
e) [-2, 00)n(3, 0) =
f) (-0,5)N[-3,9] =
g) [5,0)n(-0,2)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F04ddd72f-30f0-437a-bf8b-c24526128137%2F4cc0c75c-e64f-42a7-9bdb-1006347ad9eb%2F1bhg56b_processed.png&w=3840&q=75)
Transcribed Image Text:MMath U701U
Worksheet 2.1: Interval Notation
1. In the first column of the table below, a set of numbers is described using set builder notation. For each set of
numbers, (i) graph the set on a number line and (ii) describe the set using interval notation.
Set BuilderNotation
Graph
Interval Notation
{x |x2 -2}
0 or x >
8
{x |x + 4}
2. Simplify the given expression by performing the indicated set operation. Include a number line graph that
shows how you obtained your answer. Write your answer using interval notation.
a) [3,8)n(-2,4) =
b) [-3,8)U(-5,4) =
c) [-2, 00)U (3, 0) =
d) (-4,0) U(-x,7]
e) [-2, 00)n(3, 0) =
f) (-0,5)N[-3,9] =
g) [5,0)n(-0,2)
Transcribed Image Text:3. Let Df
and R, be the domain and range of f. Let D, and R, be the domain and range of g. Use the graphs of
y = f(x) and y=g(x) to answer the questions that follow.
y = fx)
4
y= g)
4
3-
3-
2
-3
TF
-2
-4
-2
4
-3
-4
-5-
-7
-6
-4
-3
-2
-1 0
2
3
4
-6-
-7-
-8-
-9
-2
-10
-11
-12
-3-
-13-
-14-
-4
-15-
a) Find D, and R,. Express your answers using interval notation.
b) Find D, and R.. Express your answers using interval notation.
c) Find D, nD.. Express your answer using interval notation.
d) Find D, n R.. Express your answer using interval notation.
e) Find R, n D̟. Express your answer using interval notation.
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