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

How to subtract fractions with the same denominators, Q. How to Subtract fr...

Q. How to Subtract fractions with the same denominators? Ans. Subtracting fractions is basically the same as adding them. If you don't know how to add fractions, you shoul

Determine the actual viewing area, Computer monitors are calculated by thei...

Computer monitors are calculated by their diagonals. If a monitor is advertised to be 19 in, Determine the actual viewing area, considerthe screen is square? (Round to the nearest

My homework, Paulina played 3 soccer games on Saturday she drank I juice bo...

Paulina played 3 soccer games on Saturday she drank I juice box during each soccer game how many juice boxes did she drank

What is negative exponents explain, What is Negative Exponents explain? ...

What is Negative Exponents explain? Here's a problem which results in a negative exponent: 3 4 /3 7 = 3 (4-7) = 3 -3 A negative exponent means the same thing as making

Trig identities, What is the exact vale of sin(theta/2) when sintheta=3/5, ...

What is the exact vale of sin(theta/2) when sintheta=3/5, pi/2

Evaluate the rational exponents, Evaluate each of the following.  (a) 2...

Evaluate each of the following.  (a) 25 1/2  (b) 32 1/5 Solution  (a) 25 1/2 Thus, here is what we are asking in this problem.                             2

Horizontal asymptotes, Horizontal asymptotes : Such as we can have vert...

Horizontal asymptotes : Such as we can have vertical asymptotes defined in terms of limits we can also have horizontal asymptotes explained in terms of limits. Definition

Probability of tossing a head with the dime, Q. Find Probability of tossing...

Q. Find Probability of tossing a head with the dime? List the sample space, and find n(S), for the outcomes of tossing a nickel followed by a dime. What is the probability of t

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