0
the union of two convex sets need not be a convex set.
Wiki User
∙ 14y ago
Add your answer:
Earn +20 pts
Two lines with intersection is the empty set?
It can be if the set consists of convex shapes, for example.
What shape is a convex hexagon?
A convex hexagon is a simple polygon whose interior is a convex set. It is a six-sided polygon, and it has no angles pointing inwards, meaning that no internal angles can be more than 180 degrees.
What a equal sets?
What are equal sets?? A set is a grouping of numbers. Set P = {1,4,9} if set Q is equal it must contain exactly the same numbers.
Why null set is not considered as an element of any set even though it is an subset of every set?
Let set A = { 1, 2, 3 } Set A has 3 elements. The subsets of A are {null}, {1}, {2}, {3}, {1,2},{1,3},{1,2,3} This is true that the null set {} is a subset. But how many elements are in the null set? 0 elements. this is why the null set is not an element of any set, but a subset of any set. ====================================== Using the above example, the null set is not an element of the set {1,2,3}, true. {1} is a subset of the set {1,2,3} but it's not an element of the set {1,2,3}, either. Look at the distinction: 1 is an element of the set {1,2,3} but {1} (the set containing the number 1) is not an element of {1,2,3}. If we are just talking about sets of numbers, then another set will never be an element of the set. Numbers will be elements of the set. Other sets will not be elements of the set. Once we start talking about more abstract sets, like sets of sets, then a set can be an element of a set. Take for example the set consisting of the two sets {null} and {1,2}. The null set is an element of this set.
What are the difference between joint set and disjoint set?
The difference between joint sets and disjoint sets is the number of elements in common. A disjoint set, in math, does not any elements in common. A joint set must have at least one number in common.
Is A union B a convex set?
yes
Show that A union B is not a convex set?
In some cases, A union B is convex, but in general this may not be true. Consider two sets A, B (subsets of Rn) such that A intersect B is the null set. Now choose a point x in A, and y in B. If a set is to be convex, then all points on the line tx + (1-t)y (0
Why empty set is a set?
The concept of closure: If A and B are sets the intersection of sets is a set. Then if the intersection of two sets is a set and that set could be empty but still a set. The same for union, a set A union set Null is a set by closure,and is the set A.
What is for two sets the set of all elements that are in either set?
That is called the UNION of the two sets.
What is the union intersection set?
Given two or more sets there is a set which is their union and a set which is there intersection. But, there is no such thing as a "union intersection set", as required for the answer to the question.
what is union of two sets?
the union of two sets A and b is the set of elements which are in s in B,or in both A and B
What is the definition of union in math?
A union of two sets is the set that contains all the elements that are in any of the original sets.
What is the definition of union of sets?
the set is<9,3,4,5,4,> or<8,7,9,0,>
In math what does the union of two sets mean?
The union of two sets A and B is a set that consists of all elements which are either in A, or in B or in both.
What set is the union of the sets of non negative integers and negative integers?
It is a universal set
What is the union of X and Y?
The union of sets X and Y is the set consisting of all elements that belong to X, or belong to Y or to both.The union of sets X and Y is the set consisting of all elements that belong to X, or belong to Y or to both.The union of sets X and Y is the set consisting of all elements that belong to X, or belong to Y or to both.The union of sets X and Y is the set consisting of all elements that belong to X, or belong to Y or to both.
What for two sets is the set of all elements that are in either set?
The union of a collection of sets is defined as the set of all distinct elements that are in the collection. This includes the specific case where the collection consists of two sets.
