Chapter 1: Linear Functions, Equations, and Inequalities
1.1:
Real Numbers and the Rectangular Coordinate System
1.
(a) The only natural number is 10.
(b) The whole numbers are 0 and 10.
(c) The integers are
(d) The rational numbers are
.
(e) The irrational numbers are
.
(f) All of the numbers listed are real numbers.
2.
(a) The natural numbers are
.
(b) The whole numbers are
.
(c) The integers are
.
(d) The rational numbers are
.
(e) The only irrational number is
.
(f) All of the numbers listed are real numbers.
3.
(a) There are no natural numbers listed.
(b) There are no whole numbers listed.
(c) The integers are
.
(d) The rational numbers are
.
(e) There are no irrational numbers listed.
(f) All of the numbers listed are real numbers.
4.
(a) The natural numbers are 3, 18, and 56.
(b) The whole numbers are 3, 18, and 56.
(c) The integers are
.
(d) The rational numbers are
.
(e) The only irrational number is
.
(f) All of the numbers listed are real numbers.
5.
The number 4,000,000,000 is a natural number, integer, rational number, and real number.
6.
The number 92,000,000,000 is a natural number, integer, rational number, and real number.
7.
The number
is an integer, rational number, and real number.
8.
The number
is an integer, rational number, and real number.
]
3
]
250
6
π
]
1
49
1
or
]
7
2
,
]
.405,
]
.3
, .1, 3, 18, and 56
]
1
49
1
or
]
7
2
, 3, 18, and 56
]
1
100
1
or
]
10
2
,
]
13
6
,
]
1, 5.23, 9.14
, 3.14, and
22
7
]
1
100
1
or
]
10
2
and
]
1
1
12
]
8,
]
14
7
1
or
]
2
2
,
]
.245, 0,
6
2
1
or 3
2
, 8, and
1
81
1
or 9
2
]
8,
]
14
7
1
or
]
2
2
, 0,
6
2
1
or 3
2
, 8, and
1
81
1
or 9
2
0,
6
2
1
or 3
2
, 8, and
1
81
1
or 9
2
6
2
1
or 3
2
, 8, and
1
81
1
or 9
2
]
1
3
, 2
π
, and
1
17
]
6,
]
12
4
1
or
]
3
2
,
]
5
8
, 0, .31, .3
, and 10
]
6,
]
12
4
1
or
]
3
2
, 0, 10