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Mathematics, 03.10.2019 00:00 lisnel
Use the definitions for the sets given below to determine whether each statement is true or false:
a = { x ∈ z: x is an integer multiple of 3 }
b = { x ∈ z: x is a perfect square }
c = { 4, 5, 9, 10 }
d = { 2, 4, 11, 14 }
e = { 3, 6, 9 }
f = { 4, 6, 16 }
an integer x is a perfect square if there is an integer y such that x = y2.
(a)
15 ⊂ a
(b)
{15} ⊂ a
(c)
∅ ⊂ a
(d)
a ⊆ a
(e)
∅ ∈ b
(f)
a is an infinite set.
(g)
b is a finite set.
(h)
|e| = 3
(i)
|e| = |f|
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