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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.
a) Let n = (abc) 7 . Prove that n ≡ a + b + c (mod 6). b) Use congruences to show that 4|3 2n - 1 for all integers n ≥ 0.
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