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Neporo4naja [7]
3 years ago
14

(1) In Section 1.4 we used the Axiom of Completeness (AoC) to prove the Archimedean Property of R (Theorem 1.4.2). Show that the

Monotone Convergence Theorem can also be used to prove the Archimedean Property without making any use of AoC.
(2) Use the Monotone Convergence Theorem to supply a proof for the Nested Interval Property (Theore 1.4.1) that doesn't make use of AoC. These two results suggest that we could have used the Monotone Con- vergence Theorem in place of AoC as our starting axiom for building a proper theory of the real numbers

Mathematics
1 answer:
serious [3.7K]3 years ago
3 0

Answer:

Both Answers are in the following attachment (a) and (b)

Step-by-step explanation:

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I believe the answer is 10
3 0
2 years ago
Show work, for extra Brainly, elementary work, multiplying unit fractions by whole numbers
Wewaii [24]

Answer:

2 1/4

Step-by-step explanation:

Number 1 is incorrect because 1/4 x 9 is 2 1/4 not 1 1/4.

To multiply fractions, multiply directly across. So multiply 1/4 x 9/1 to get 9/4 which converted into a mixed number is 2 1/4.

5 0
2 years ago
Mr. Loureiro simplified the expression 3x + 5(3x + 6) as 18x + 6. Is he
IrinaK [193]

Answer:

He was incorrect

Step-by-step explanation:

3x+5(3x+6)

multiply whats inside the parenthesis by whats outside

3x+15+30

he forgot to multiply 6x5 too.

8 0
3 years ago
For the rectangle shown, which equation can be used to find the value of x?​
trasher [3.6K]

Answer:

Pythagorean theorem a^{2} +b^{2} =c^{2}

Step-by-step explanation:

a^{2} +b^{2} =c^{2} \\x^{2} +3.6^{2} =7.4^{2} \\x^{2} +12.96=54.76\\x^{2} =\sqrt{41.8} \\x=6.47\\

6 0
2 years ago
What is the solution of 34x+2x=44
Alex

Answer:

x=11/9 hope this helped <3

Step-by-step explanation:

Let's solve your equation step-by-step.

34x+2x=44

Step 1: Simplify both sides of the equation.

34x+2x=44

(34x+2x)=44(Combine Like Terms)

36x=44

36x=44

Step 2: Divide both sides by 36.

8 0
3 years ago
Read 2 more answers
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