Answer with Step-by-step explanation:
We are given that A and B are two countable sets
We have to show that if A and B are countable then
is countable.
Countable means finite set or countably infinite.
Case 1: If A and B are two finite sets
Suppose A={1} and B={2}
={1,2}=Finite=Countable
Hence,
is countable.
Case 2: If A finite and B is countably infinite
Suppose, A={1,2,3}
B=N={1,2,3,...}
Then,
={1,2,3,....}=N
Hence,
is countable.
Case 3:If A is countably infinite and B is finite set.
Suppose , A=Z={..,-2,-1,0,1,2,....}
B={-2,-3}
=Z=Countable
Hence,
countable.
Case 4:If A and B are both countably infinite sets.
Suppose A=N and B=Z
Then,
=
=Z
Hence,
is countable.
Therefore, if A and B are countable sets, then
is also countable.
Answer:
No entiendo
Step-by-step explanation:
Answer:

Step-by-step explanation:
The point-slope form of an equation of a line:

We have two points (-6, 5) and (8, 14).
Substitute:

Thew standard form of an equation of a line:

transform:

Answer:
5
x
2
−
10
x
=
5
x
(
x
−
2
)
Step-by-step explanation:
Answer:
y=5
Step-by-step explanation:
esa es la respuesta