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.
<span>the highest point; the top or apex </span>
Answer:
x=3/4
Step-by-step explanation:
Set up an equation:
1/6+x=1 2/3-x
1/6+x=5/3-x
1/6+x=10/6-x
2x=9/6
2x=3/2
4x=3
x=3/4
Check:
common denominator of 12
2/12+9/12=11/12 AND 20/12-9/12=11/12
Answer:
i think its no soulution
Step-by-step explanation:
the numbers all cancel out
Answer:
90 divided by 10
Step-by-step explanation:
This is the answer because when you divide the 90 and the amount of students in each van(10) you would get the equation needed to see how many students are in each van.