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a ∈ A
a is an element of A
a ∈/ A
a is not an element of A
{x ∈ D | P(x)}
the set of all x in D for which P(x) is true
R
the sets of all real numbers
Z
the sets of all integers {-3, -2, -1, 0, 1, 2 3...}
Z+
the set of positive integers, {1, 2, 3, ...}
Q
the sets of all rational numbers {e.i. 0, 1, 1/2, 22/7}
N
the set of natural numbers {0, 1, 2, 3, 4, 5,...}
A ⊆ B
A is a subset of B
A ̸⊆ B
A is not a subset of B
∀
for all
∃
there exists