Matn 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 {x |x2-2} 7 {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)^(-2,4) =, b) [-3,8)U(-5,4) = c) [-2, 0)U(3,00) = d) (-4,0)U(-0,7] e) [-2,00)n(3,00) = f) (-∞,5)N[-3,9] g) [5, 0)N(-0,2)

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Chapter2: Second-order Linear Odes
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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)
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)
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