Answer Key - St. Louis Public Schools
Reteach
Sets of Numbers
As you move from left to right on a number line, the numbers increase.
Use a number line to help you order real numbers.
Order from least to greatest:
[pic]
Use a calculator to approximate [pic] and [pic] as decimals:
[pic] ≈ 3.32 and [pic] ≈ −1.57.
Plot each point on a number line.
[pic]
Read the numbers from left to right on the number line.
From least to greatest, the order is [pic]
Order the given numbers from least to greatest. Use a number line to help you.
1. π, [pic], [pic], −0.456, and [pic]
π ≈ 3.14, [pic] ≈ 2.67, and [pic] ≈ 1.73 [pic]
2. −1.75, 1, [pic], 1.55, and [pic]
[pic] ( ____________ [pic]
[pic] ≈ ____________
3. [pic] and [pic]
[pic] ≈ ____________ [pic]
[pic] ≈ ____________
[pic] ≈ ____________
Reteach
Sets of Numbers (continued)
You can represent the same set in different ways.
Number line: [pic]
Words: The set of numbers greater than or equal to −2 and less than 0
OR greater than or equal to 1
Interval Notation: [−2, 0) or [1, ∞)
Set-Builder Notation: {x ( −2 ≤ x < 0 or x ≥ 1}
This set cannot be described in roster notation because you cannot list
the real numbers in the intervals shown on the number line.
The roster notation of [pic], the set of natural numbers, is {1, 2, 3, ...}.
The set-builder notation of [pic] is {x(x ( [pic]}.
Rewrite each set using the indicated notation.
4. the set of integers, or [pic]; roster notation {…, −3, −2,_______________________________}
5. {0, 4, 8, 12, 16, …}; words
6. −5 ≤ x ≤ 12; interval notation [ _______________________________
7. {x(x < 0}; interval notation (−∞ _______________________________
8.
set-builder notation {x( _______________________________
-----------------------
LESSON
1-1
LESSON
1-1
( means infinity and
–( means negative infinity.
Brackets [ ] include the endpoints.
Parentheses ( ) do not include endpoints.
Read this as “x such that”
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