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Mathematics
Mathematics
Problem
Let
U
=
the letters in the English alphabet
U = {\text{the letters in the English alphabet}}
U
=
the letters in the English alphabet
,
A
=
the letters in “springbok”
A = {\text{the letters in “springbok”}}
A
=
the letters in “springbok”
, and
B
=
the letters in “waterbuck”
B = {\text{the letters in “waterbuck”}}
B
=
the letters in “waterbuck”
. a.
a
Describe each of these sets, and list their elements:
i
A
∪
B
A \cup B
A
∪
B
ii
A
∩
B
A \cap B
A
∩
B
iii
A
∩
B
′
A \cap B'
A
∩
B
′
b.
b
Show
U
U
U
,
A
A
A
, and
B
B
B
on a Venn diagram.
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