Answer with Step-by-step explanation:
Let A and B be non- empty bounded subset of R
a.We have to find why exist
If A and B are bounded set
Then there exist constant such that
and
Then , sup of A =b and sup of B=d
When a set is bounded then all elements lie in the set are lie between the constants s and t.
All elements are less than or equal to t then t is supremum of set.
Because both set are bounded and sup of both set A and B are exist.All elements A union B are less than or equal to sup A or sup B.
Then, exist.
b.We have to prove that
Suppose ,A =(1,2) and B=(2,3)
Sup A=2 , sup B=3
Upper bound of
Hence,
If A=(4,5),B=(2,3)
Sup A=5,Sup B=3
Hence,
Hence, we can say that .
Answer:
7+7, 8+8
Step-by-step explanation:
Do not go to that link it is a virus
Answer:
Tthe distance between the police station and the fire station is 4 miles
Step-by-step explanation:
Let's call x the distance between the library and the police station
Let's call z the distance between the police station and the fire station
We know that:
miles
The distance (x) between the library and the police station is 3 miles less than twice the distance (z) between the police station and the fire station
This is:
We wish to find the distance z.
Then we equate both equations and solve for the variable z
Answer:
no
Step-by-step explanation: