Algebra – Chapter 1

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Relationships Between Quantities
Day 11 HW
Answer the following questions. You must show ALL work for
multiple choice questions to receive full credit!
For each of the following
a. Write in set builder notation
b. Write in interval notation
c. Graph on a number line.
1. The set of x such that x is less than 2.
2. The set of x such that x is greater than or equal to -1.
3. The set of x such that x is more than 0 and less than or
equal to 4.
4. The set of x such that x is less than or equal to -3.
Relationships Between Quantities
Day 11 HW
5. The set of all x such x is greater than 0 and less than or equal
to 5.
6. The set of all x such that x is at least 7.
From the given number line, write the solution in set-builder notation.
7.
Write in set builder notation.
[-3, 5)
9. (-  , 3)
10. [-3, 4]
11. (-3, 5)
8.
Write in interval notation.
12.
xx2
13.
x2x0
Relationships Between Quantities
14. xx 7
Day 11 HW
15.
x5x
Multiple Choice:
16. Which interval notation represents the set of all numbers from
2 through 7, inclusive?
(1)
(2, 7]
(3)
[2, 7)
(2)
(2, 7)
(4)
[2, 7]
17. The set {1, 2, 3, 4} is equivalent to
(1)
(2)
(3)
(4)
{ x | 1  x  4, where x is a whole number}
{ x | 0  x  4, where x is a whole number}
{ x | 0  x  4, where x is a whole number}
{ x | 1  x  4, where x is a whole number}
18. The set {11, 12} is equivalent to
(1)
(2)
(3)
(4)
{ x | 11  x  12, where x is an integer}
{ x | 11  x  12, where x is an integer}
{ x | 10  x  12, where x is an integer}
{ x | 10  x  12, where x is an integer}
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