Let A = { x ∈ z | x = 5 a + 2 for some integer a } . B = { y ∈ Z | y = 10 b − 3 for some integer b } , and C= { z ∈ Z | z = 10 c + 7 for some integer c } . Prove or disprove each of the following statements. a. A ⊆ B b. B ⊆ A c. B = C
Let A = { x ∈ z | x = 5 a + 2 for some integer a } . B = { y ∈ Z | y = 10 b − 3 for some integer b } , and C= { z ∈ Z | z = 10 c + 7 for some integer c } . Prove or disprove each of the following statements. a. A ⊆ B b. B ⊆ A c. B = C
Let
A
=
{
x
∈
z
|
x
=
5
a
+
2
for
some integer
a
}
.
B
=
{
y
∈
Z
|
y
=
10
b
−
3
for
some
integer
b
}
,
and
C=
{
z
∈
Z
|
z
=
10
c
+
7
for
some integer
c
}
.
Prove or disprove each of the following statements.
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