Sets

Related BrainMass Solutions

• The Symmetric Difference of two Sets: A ring of sets is a non-empty class A of sets such that if A and B are in A, then A difference B and A intersection B are also in A. Show that A must also contain the empty set.

  123249 The Symmetric Difference of two Sets: A ring of sets is a non-empty class A of sets such that if A and B are in A, then A difference B and A intersection B are also in A.

• Correspondence of Borel sets

  Since and are continuous, according to the above two statements, we know that and map open sets to open set and map closed sets to closed sets.

• Show that if a non-empty class of sets contains the union and difference of any pair of its sets, then it is a ring of sets.

  124062 Show that if a non-empty class of sets contains the union and difference of any pair of its sets, then it is a ring of sets.

• Affine Algebraic Sets and Topologies

  Show that affine algebraic sets satisfy the axioms for the closed sets of a topology, i.e. show that the intersection of an arbitrary collection of algebraic sets is algebraic and the union of two algebraic sets is algebraic.

• The Symmetric Difference of two Sets: A ring of sets is a non-empty class A of sets such that if A and B are in A, then A difference B and A intersection B are also in A. Show that A must also contain the A - B.

  123251 The Symmetric Difference of two Sets: A ring of sets is a non-empty class A of sets such that if A and B are in A, then A difference B and A intersection B are also in A.

• Sets Definitions and Examples

  Complement of a universal set. - Equivalent sets vs. Equal sets Answer: First, we need to know the difference between equivalent sets and equal sets.

• Complement, Union and Intersection of sets

  Using the same two sets you described in problem 2, describe (in words) the new set formed by joining the two sets together. Is the new set called the union of the original sets, the intersection of the original sets, or neither? Explain. 1.

• Sets and Functions : The Symmetric Difference of Two Sets

  111265 Sets and Functions : The Symmetric Difference of Two Sets The symmetric difference of two sets A and B, denoted by A Δ B, is defined by A Δ B = ( A - B ) U ( B - A ); it is thus the union of their differences in opposite orders.

• All of the following are true with regard to both inventory

  Both sets of assets are tangible. 2. For both sets of assets, cost is not reflected on the income statement until the asset is sold or otherwise disposed of. 3.

• Show that the class of all finite unions of closed-open intervals on the real line is a ring of sets but is not a Boolean algebra of sets.

  This solution is comprised of a detailed explanation of a ring of sets and a Boolean algebra of sets.