Discuss the sets show that sup

Reference no: EM13204033

Let A subset or equal of R be bounded above and let c belong to R.Define the sets c+A and cA by c+A={c+a : a belong to A} and cA={ca : a belong to A}.

1-show that sup(c+A)=c+ Sup A

2-if c>=0,show that sup(cA)=cSupA

3-postulate a similar type of statement for sup(cA)for the case c

Reference no: EM13204033

Questions Cloud

What is your weighted average cost of capital : What is your weighted average cost of capital and what could this business do to bring this cost down? Discuss, using specific examples.

State when a ball is thrown : When a ball is thrown, its height in meters after seconds is given by the equation, where is the initial upwards velocity in meters per second

What are the short-run effects on the real interest rate : Assume the price level is fixed in the short run so that the economy does not reach a general equilibrium immediately after a change in the economy. For each of the changes what are the short-run effects on the real interest rate and output

Sketch the graph of a fuction whose domain eqauls interval : sketch the graph of a fuction whose domain eqauls the interval [1,3] and whose range equals the interval [-2,4]

Discuss the sets show that sup : Let A subset or equal of R be bounded above and let c belong to R. Define the sets c+A and cA by c+A={c+a : a belong to A} and cA={ca : a belong to A}.

What is the probability that an average of 16 : The weight of a product is normally distributed with a mean of four ounces and a variance of 0.25 "squared ounces".

Assess the companys generation and use of cash : Prepare cash flow statements for 2007 - 2009. Explain balance sheet changes and assess the company's generation and use of cash.

Find the equation of the tangent line to the curve : find the equation of the tangent line to the curve f(x)=4/(5x + 7) at the point (-1.2). (use the definition of derivative (not short cut) to find f'(x))

Write rational expression for her distance at cripple creek : marathon run. Florence ran 26.2 miles in x hours in the boston marathon. a) Write a rational expression for her average speed. b) she runs at the same average speed for 1/2 hour in the cripple creed fun run. Write a rational expression for her dis..

User Account

All Pages