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 .
You divide by -7 on both sides then add three to both sides and the answer is -3
Answer:
21.85 feet.
Step-by-step explanation:
Tan 0.5 = x / 40
x = 40 tan 0.5
x = 21.85 feet.
Answer:
Step-by-step explanation:
Given
Required
Determine the invested amount
First, we need to determine the Principal
This is calculated as:
Solve for Principal
Add the principal to the interest