Question: Consider the set A = {x : x N, y E N} = {1,2, 2, 23, 2, ..., 3, 3, 3, 34, ., 4,

$Consider the set A = {x\ : x N, y E N}$

Consider the set A = {x\ : x N, y E N} = {1,2, 2, 23, 2, ..., 3, 3, 3, 34, ., 4, 42, 43, 4, ...} Is A countably infinite? If yes, produce an enumeration of A. If no, explain why A is not countably infinite.

Step by Step Solution

★★★★★

3.47 Rating (154 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock blur-text-image

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!

Consider the set A = {1,2,3,4}. On the cartesian product A x A we define the relation R by %3D (x1, y1)R(x2, y2) + y -X1 =y2 - X2 Show that R is an equivalence relation and illustrate the differrent...

Consider an equilateral triangle containing 1 + 2 + 3 + ... + n = n(n + 1)/2 circles, each of diameter 1 and stacked as indicated in Figure 4 for the case n = 4. Find Where An is the total area of...

b) Discuss the continuity at x = 5 of the function f(x) = (x - 25 x-5 2x if if x = 5 x = 5

Consider the simplest version of equation (14.25). We have one dummy variable, x1i, and one other explanatory variable, x2i. Consequently, equation( 14.25) reduces to a) In this specification,...

Econ 289 Assignment 2 (Sections 4.1-4.5) Questions Solve all questions, showing your work in reasonable detail. Finish your calculations: when the results can be reduced to numbers, calculate those...

answer the followimng Consider a Cobb-Douglas production function Y = AK?L1??with ? = 0.6 and A = 1.5. Assume that the savings rate is s = 0.04, the population growth rate is n = 0.02 and the...

Consider the set E = {(x, y)lla| + ly| Consider the set E = + lyl 1}. Suppose that we choose a point (X, Y) uniformly at random in E. That is, the joint PDF of X and Y is given by otherwise a. b. c....

Consider the functions f (x) = e2x and g(x) = x3 + 1. a. Find the inverses of f and g, and use these to find when f (x) = 2 and when g(x) = 2. b. Find f g and g f and evaluate each at x = 2. c....

Exercise 2.11.2 Consider the model Y = X + Xb + e, E (e) = 0, Cov (e) = 2 I, where b is a known vector and Xb is often called an offset. Show that Proposition 2.1.3 is not valid for this model by...

Consider the following competing hypotheses and accompanying sample data. H 0 : 1 2 = 5 H A : 1 2 5 x 1 = 57 s1 = 21 .5 n 1 = 22 x 2 = 43 s2 = 15 .2 n 2 = 18 Assume that the populations are...

1) What is the company's net incomeet earnings? 2) What is the company's gross profit percent? 3) Did the company's financial position improve over the past two years and why? Revenues Cost of...

5. Consider the language, L, using the alphabet A = {a, , y} defined by: a word w is in L if and only if the number of a's times the number of 's equals the number of y's. So yaay is in L but ayayy...

Kohler Corporation reports the following components of stockholders' equity at December 31 of the prior year. Common stock-$20 par value, 100,000 shares authorized, 50,000 shares issued and...

Assessment Instructions 1. Answer the following four questions: i. What are your career goals? ii. What are you really good at professionally? iii. What are you not good at or not interested in doing...

How does your personality align with your organisation's culture? If you are not part of a specific organisation, reflect on the outcomes of the personality and spend some time reflecting on your...

Go tohttps://paulhammant.com/2016/09/26/visualizing-the-theory-of-constraints/ Find TOC for a manufacturing production line - Click "Click to Play" 1 What is the constraint (which station) and what...

Match the risk with the correct transaction ( if any ) : The DC appreciates, altering relative prices in the current account The DC depreciates, altering relative prices in the current account The DC...

Use Stokes' Theorem to evaluate f(y+sin x) dx+(z+cos y) dy+rdz, where C is the rve r(t) = (sint, cost, sin 2t), t = [0, 2].

Use an analysis-of-variance approach to test the hypothesis that 0 = 0 against the alternative hypothesis 0 in Exercise 11.3 at the 0.05 level of significance.

The following data show the number of defects in 100,000 lines of code in a particular type of software program made in the United States and Japan. Is there enough evidence to claim that there is a...

Consider the density function(a) Evaluate k.(b) Find F(x) and use it to evaluate P(0.3 SkVa, 0

If seasonal variations are present, is their incorporation into MRP fairly simple or fairly difficult? Explain briefly.

Suppose you work for a furniture manufacturer, one of whose products is the chair depicted in Figure. Finished goods inventory is held in a central warehouse in anticipation of customer orders....

How does the purpose of ERP differ from the purpose of MRP II?