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Q. Explain Set Intersection?
Ans.
Set IntersectionSuppose your school needs to know which students are taking both art and business this year. If A is the set of students taking art and B is the set of students taking business, then the students who are taking both classes are common to A and B, or the intersection of A and B.
The intersection of two sets A and B, written A ∩ B, is the set of all elements which are common to both A and B. This can be written as.
A ∩ B = { x| x ∈ A and x ∈ B }The key word in this definition is and. The elements must be in both A and B.
Solve 3 + 2 ln ( x /7+3 ) = -4 . Solution This initial step in this problem is to get the logarithm by itself on one side of the equation along with a coefficient of 1.
Determine how many square centimeters of paper are needed to make a label on a cylindrical can 45 cm tall with a circular base having diameter of 20 cm. Leave answer in terms of π.
Relations in a Set: Let consider R be a relation from A to B. If B = A, then R is known as a relation in A. Thus relation in a set A is a subset of A ΧA. Identity Relation:
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let X be a nonempty set. let x belong to X. show that the collection l={ union subset of X : union = empty or belong U
Ashow that sec^2x+cosec^2x cannot be less than 4
Determine if the subsequent series is convergent or divergent. Solution As the cosine term in the denominator doesn't get too large we can suppose that the series term
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