Define universal set, Mathematics

Assignment Help:

Q. What is set theory? Define universal set?

Ans.

The universe, or universal set, written as U, is the set that contains all elements being considered in a given discussion. For example, if we are considering the states in the U.S., the universe will contain 50 elements: California, Alaska, New York, etc. In set notation this is written:

22_Define universal set.gif

It is read: "U is the set of all x such that x is a state of the U.S."

The elements of a set are all of the possible members of the set.

The cardinal number of a set is the number of elements in that set. This corresponds to the notation n(A), meaning the number of elements of set A.

A set that contains no elements has a cardinal number of 0 and is called the empty or null set, written as Φ or {}.

The set B is a subset of A, denoted B ⊆ A., if and only if every element of B is an element of A. Notice that this definition of subset allows B to be equal to A. Two subsets are equal if they have the exact same elements.

if B ⊆ A And A ⊆ B then A= B


Related Discussions:- Define universal set

Launching of a new product, Launching a new product (Blackberry Cube) Analy...

Launching a new product (Blackberry Cube) Analysis (target market) Product features Promotions and advertisement sample design (location)

Find relative extrema f ( x ) = x2 on [-2, Recognizes the absolute extrema...

Recognizes the absolute extrema & relative extrema for the given function.  f ( x ) = x 2        on                  [-2, 2] Solution Following is the graph for this fun

Curvature - three dimensional space, Curvature - Three Dimensional Space ...

Curvature - Three Dimensional Space In this part we want to briefly discuss the curvature of a smooth curve (remind that for a smooth curve we require → r′ (t) is continuou

Determine the area of the shaded region, The diagram below shows the cross ...

The diagram below shows the cross section of a pipe  1/2  inch thick that has an inside diameter of 3 inches. Determine the area of the shaded region in terms of π. a. 8.75π i

Indices, 4n to the power 3/2 = 8 to the power minus 1/3. find the value of ...

4n to the power 3/2 = 8 to the power minus 1/3. find the value of n.

4.4238/[1.047+{1.111*[9.261/7.777]}*1.01, Ask question #Min 4.4238/[1.047+{...

Ask question #Min 4.4238/[1.047+{1.111*[9.261/7.777]}*1.01

Difererntial equation, Ask queFind the normalized differential equation whi...

Ask queFind the normalized differential equation which has {x, xex} as its fundamental setstion #Minimum 100 words accepted#

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd