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Let x be in A intersect B.
Then x is in A and x is in B.
Then x is in A.
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∙ 13y ago
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What is a subsets?
A is a subset of a set B if every element of A is also an element of B.
I have to prove if two lines intersect then they intersect in no more than one point I have to assume that lines intersect in MORE than one point i have to prove tht they intersect MORE than 1 wrong?
wrong!
What is an example of a proper subset?
Let A be the set {1,2,3,4} B is {1,2} and B is a proper subset of A C is {1} and C is also a proper subset of A. B and C are proper subsets of the set A because they are strictly contained in A. necessarily excludes at least one member of A. The set A is NOT a proper subset of itself.
Why a null set is subst of every set?
The definition of subset is ; Set A is a subset of set B if every member of A is a member of B. The null set is a subset of every set because every member of the null set is a member of every set. This is true because there are no members of the null set, so anything you say about them is vacuously true.
How do perpendicular differ from intersecting lines?
Perpendicular lines are a subset of intersecting lines. The only difference is that perpendicular lines intersect at an angle of 90o, whereas intersecting lines can converge at any angle.
If A-B equals null set then prove A subset of B?
A - B is null.=> there are no elements in A - B.=> there are no elements such that they are in A but not in B.=> any element in A is in B.=> A is a subset of B.
Is A a subset of A set difference B?
Not in general , This would be true if B intersect A is empty, in which case A set difference B is A itself.
Prove if a union c equals b union c and a intersect c equals b intersect c then a equals b?
suppose x is in B. there are two cases you have to consider. 1. x is in A. 2. x is not in A Case 1: x is in A. x is also in B. then x is in A intersection B. Since A intersection B = A intersection C, then this means x is in A intersection C. this implies that x is in C. Case 2: x is not in A. then x is in B. We know that x is in A union B. Since A union B = A union C, this means that x is in A or x is in C. since x is not in A, it follows that x is in C. We have shown that B is a subset of C. To show that C is subset of B, we do the same as above.
What is a subsets?
A is a subset of a set B if every element of A is also an element of B.
Prove that the complement of A and B are independent events?
first prove *: if A intersect B is independent, then A intersect B' is independent. (this is on wiki answers) P(A' intersect B') = P(B')P(A'|B') by definition = P(B')[1-P(A|B')] since 1 = P(A) + P(A') = P(B')[1 - P(A)] from the first proof * = P(B')P(A') since 1 = P(A) + P(A') conclude with P(A' intersect B') = P(B')P(A') and is therefore independent by definition. ***note*** i am a student in my first semester of probability so this may be incorrect, but i used the first proof* so i figured i would proof this one to kinda "give back".
B is the subset of A what happened if elements are deleted from B?
Since B is a subset of A, all elements of B are in A.If the elements of B are deleted, then B is an empty set, and also it is a subset of A, moreover B is a proper subset of A.
What is a subset of records?
a subset is a group that is contained within the other group. So the set of letters {a, b} is a subset of {a, b, c} It is also worth noting that {a, b} is also a subset of itself {a, b}. In set arithmatic a subset I believe is defined like this: set1 is a subset of set2 if set1 + set2 = set2. {a, b} + {a, b, c} = {a, b, c}
An example of why any subset can not be a proper subset?
Assume that set A is a subset of set B. If sets A and B are equal (they contain the same elements), then A is NOT a proper subset of B, otherwise, it is.
If a is not a subset of b and b is not a subst of a then find out the false statement from the following?
a is intersection b and b is a subset
What is an proper subset?
Set "A" is said to be a subset of set "B" if it fulfills the following two conditions:A is a subset of B, andA is not equal to B
I have to prove if two lines intersect then they intersect in no more than one point I have to assume that lines intersect in MORE than one point i have to prove tht they intersect MORE than 1 wrong?
wrong!
What is a subset in maths?
A set "A" is said to be a subset of of set "B", if every element in set "A" is also an element of set "B". If "A" is a subset of "B" and the sets are not equal, "A" is said to be a proper subset of "B". For example: the set of natural numbers is a subset of itself. The set of square numbers is a subset (and also a proper subset) of the set of natural numbers.
