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

Which of the following could not be the translation, If the expression 9y -...

If the expression 9y - 5 represents a certain number, which of the following could NOT be the translation? a. five less than nine times y b. five less than the sum of 9 and y c

Left-handed limit, Left-handed limit We say provided we can mak...

Left-handed limit We say provided we can make f(x) as close to L as we desire for all x sufficiently close to a and x Note that the change in notation is extremely m

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

Lognormal distribution, The Lognormal Distribution If ln(X) is a normal...

The Lognormal Distribution If ln(X) is a normally distributed random variable, then X is said to be a lognormal variable. If P1, P2, P3, ... are the prices of a scrip in per

Prove that ad x af=ae x ab, ABCD is a rectangle. Δ ADE and Δ ABF are two tr...

ABCD is a rectangle. Δ ADE and Δ ABF are two triangles such that ∠E=∠F as shown in the figure. Prove that AD x AF=AE x AB. Ans:    Consider Δ ADE and Δ ABF ∠D = ∠B

Find the average, The center of a national park is located at (0,0). A spec...

The center of a national park is located at (0,0). A special nature preserve is bounded by by straight lines connecting the points A at (3,2), B at (5,1), C at (8,4) and D at (6,5)

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