Find if 7: 14 ∷ 15:
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Answer:
Step-by-step explanation:
7/14=15/x
1/2=15/x
cross multiply
1*x=15*2
x=30
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- Sudipta Pradhan
- , studied at DAV Public School, Unit-8, Bhubaneswar
- Answered 3 years ago
- If A and B are disjoint sets. Intersection of A and B will give fi. So n(a union b ) will become n(A) + n(B) only.
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- Seshadri Kesavan
- , BE CSE from Madras Institute of technology
- Answered 2 years ago · Author has 449 answers and 1.3M answer views
- If A and B are disjoint set then what is n(A-B)?
- Since A and B are disjoint sets, there are no common elements among A and B i.e., set intersection is empty.
- In set difference, we exclude the common elements among both the sets and write the remaining elements of the first set.
- Here, there are no common elements and we should write the first set elements as it is.
- Therefore,
- A−B=A, if A and B are disjointA−B=A, if A and B are disjoint
- ⟹n(A−B)=n(A)⟹n(A−B)=n(A)
- In other words, the cardinality of set difference can be expressed as:
- n(A−B)=n(A)−n(A∩B)n(A−B)=n(A)−n(A∩B)
- [∵We exclude common elements [∵We exclude common elements
- and write the rest of the first set and write the rest of the first set
- (i.e., here it's set A) elements.](i.e., here it's set A) elements.]
- [Similarly, n(B−A)=n(B)−n(A∩B)n(B−A)=n(B)−n(A∩B) ].
- Here, A and B are disjoint, thus there is no set intersection.
- n(A∩B)=0n(A∩B)=0
- ⟹n(A−B)=n(A)⟹n(A−B)=n(A)
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