Let A = { x ∈ Z | x = 6 a + 4 for some integer a } , B = { y ∈ Z | y = 18 b − 2 for some integer b } , and C = { z ∈ Z | z = 18 c + 16 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 = 6 a + 4 for some integer a } , B = { y ∈ Z | y = 18 b − 2 for some integer b } , and C = { z ∈ Z | z = 18 c + 16 for some integer c } . Prove or disprove each of the following statements. a. A ⊆ B b. B ⊆ A c. B = C
Solution Summary: The objective of Asubseteq B is to prove or disprove the statement.
Let
A
=
{
x
∈
Z
|
x
=
6
a
+
4
for
some integer
a
}
,
B
=
{
y
∈
Z
|
y
=
18
b
−
2
for
some integer
b
}
,
and
C
=
{
z
∈
Z
|
z
=
18
c
+
16
for
some integer
c
}
.
Prove or disprove each of the following statements.
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MFCS unit-1 || Part:1 || JNTU || Well formed formula || propositional calculus || truth tables; Author: Learn with Smily;https://www.youtube.com/watch?v=XV15Q4mCcHc;License: Standard YouTube License, CC-BY