1
Q
Set
A
a well-defined collection of elements
2
Q
The Natural Integers
A
N = (1, 2, 3…..)
3
Q
Q
A
Set of all rational numbers
4
Q
Q^c
A
set of all irrational numbers
5
Q
the “c” E
A
belongs to
6
Q
backwards E
A
there exists
7
Q
upside down A
A
for every
8
Q
: or I
A
such that
9
Q
->
A
an implication, f=A->B
10
Q
Closure
A
x + y E R x . y E R
11
Q
Commutative rules
A
x + y = y + x x . y = y. x
12
Q
associative rules
A
(x+y) +z = x + (y+z) (xy) z = x (yz)
13
Q
identity elements
A
x + 0 = x x . 1 = x
14
Q
inverse rules
A
x + (-x) = 0 x . 1/x = 1
15
Q
distributive rule
A
axiom connecting addition and multiplication
x(y+z)=xy+xz
16
Q
i^0
A
1
17
Q
i^1
A
i
18
Q
i^2
A
-1
19
Q
i^3
A
-i
20
Q
i^4
A
1
21
Q
i^5
A
i
22
Q
i^6
A
-1
college algebra
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