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There are two ways of describing, or specifying the members of, a set. One way is by intensional definition, using a rule or semantic description. See this example:
A is the set whose members are the first four positive integers.
B is the set of colors of the French flag.
The second way is by extension, that is, listing each member of the set. An extensional definition is notated by enclosing the list of members in braces:
C = {4, 2, 1, 3}
D = {blue, white, red}
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What are the ways in describing a set?
a.Roster Method:By listing ex:A={1,3,5,7} b.Rule Method:By describing/defining ex:A={the first odd numbers}
What are the methods for writing a set?
There are two ways of describing, or specifying the members of, a set. One way is by intensional definition, using a rule or semantic description:A is the set whose members are the first four positive integers.B is the set of colors of the French flag.The second way is by extension - that is, listing each member of the set. An extensional definition is denoted by enclosing the list of members in curly brackets:C = {4, 2, 1, 3}D = {blue, white, red}.
What is roster notation method?
This is a method describing a set by listing each element of the set inside the symbol {}. In listing the elements of the set, each distinct element is listed once and the order of the elements does not matter.
How many parallelograms are formed when a set of 5 parallel lines intersect a set of 4 parallel lines?
This one is much more straightforward. There are 5C2 = 10 ways to choose two parallel lines from the set of five. There are 4C2 = 6 ways to choose two parallelograms from a set of four. Any parallelogram is uniquely determined by one pair of lines from the five, and one pair of lines from the four. Thus, the number of possible parallelograms is(5C2)*(4C2) = (10)*(6) = 60
What are the examples of the well-defined sets?
A set is a gathering together into a whole of definite, distinct objects of our perception and of our thought - which are called elements of the set.There are two ways of describing, or specifying the members of, a set. One way is by intensional definition, using a rule or semantic description:A is the set whose members are the first four positive integers.B is the set of colors of the French flag.The second way is by extension - that is, listing each member of the set. An extensional definition is denoted by enclosing the list of members in curly brackets:C = {4, 2, 1, 3}D = {blue, white, red}.Every element of a set must be unique; no two members may be identical. (A multiset is a generalized concept of a set that relaxes this criterion.) All set operations preserve this property. The order in which the elements of a set or multiset are listed is irrelevant (unlike for a sequence or tuple). Combining these two ideas into an example{6, 11} = {11, 6} = {11, 11, 6, 11}because the extensional specification means merely that each of the elements listed is a member of the set.
