We say that a set A is a subset of a set B if every element of A is also an element of B, and write A ⊂ B or B ⊃ A. Two sets are equal if they contain the same elements. If A and B are equal, we write A = B. The following result is straightforward and very convenient for …

Basic Set Theory 1. Relations. A binary relation on a set [Math Processing Error] A is a set of ordered pairs of elements of [Math... 2. Functions. A ( [Math Processing Error] 1 -ary) function on a set [Math Processing Error] A is a binary relation [Math... 3. …

Jun 25, 2015 · In Set-builder set is described by a property that its member must satisfy. 1. {x : x is even number divisible by 6 and less than 100}. 2. {x : x is natural number less than 10}. Equal sets. Two sets are said to be equal if both have same elements. For example A = {1, 3, 9, 7} and B = {3, 1, 7, 9} are equal sets.

May 28, 2020 · Set theory is a branch of mathematics that deals with the collection of objects termed as sets. To understand set theory let us consider an example: we will make a list of the color of rainbow. Violet, indigo, blue, green, yellow, orange, red. The above-mentioned list is a well-defined list of colors.