If A is an empty set and B is a set of vowels then AUB
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Answer:
1.1.4 Subsets A set A is said to be a subset of set B if every element of A is also an
element of B. In symbols we write A ⊂ B if a ∈ A ⇒ a ∈ B.
We denote set of real numbers by R
set of natural numbers by N
set of integers by Z
set of rational numbers by Q
set of irrational numbers by T
We observe that
N ⊂ Z ⊂ Q ⊂ R,
T ⊂ R, Q ⊄ T, N ⊄ T
1.1.5 Equal sets Given two sets A and B, if every elements of A is also an element of
B and if every element of B is also an element of A, then the sets A and B are said to
be equal. The two equal sets will have exactly the same elements.
1.1.6 Intervals as subsets of R Let a, b ∈ R and a < b. Then
(a) An open interval denoted by (a, b) is the set of real numbers {x : a < x < b}
(b) A closed interval denoted by [a, b] is the set of real numbers {x : a ≤ x ≤ b