michalalee6389 michalalee6389
  • 22-08-2019
  • Mathematics
contestada

4) Show that the cardinality of the negative even numbers is the same as all of the odd numbers

Respuesta :

lublana
lublana lublana
  • 28-08-2019

Answer with Step-by-step explanation:

We are given that two sets one set consist of negative even numbers and other set consist of all  odd numbers.

We have to show that Cardinality of negative even number is same as cardinality of set of all odd numbers.

Suppose set A={-2,-4,-6,...}

B={...,-3,-1,1,3,5,...}

Set A is countably infinite set and set B is also countably infinite set .

We know that all countably infinite set have same cardinality .

Therefore,Set A  and set B have same cardinality.

Answer Link

Otras preguntas

Explain how proteins are involved in mitosis. WILL GIVE BRAINLY
I hate my life sometimes dude[tex].064. = 8nkyh5[/tex]​
Cuales son los Reactants ?
A man was 24 years old when his son was born. Now he is three times as old as his son. Find the age of the son.
Diego evaluated 2 3/11−4/5. Each statement below is a way for Diego to check his answer. Use the drop-down menus to complete each statement. If his answer is th
Select the Polygon tool. Then, click the points of the triangle vertices to create the triangle by connecting the sides.
250 m/min = ? km/hr Help!!!
The marginal cost of a good is given by
Assessing the Impact of the Civil War Infographic
Which divides the roles and responsibilities of Congress into four categories: exercises constitutional power, legislates, represents constituents, and balances