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If A , B and C are any three sets , then A – (B∪C) is equal to
- a)(A – B)∩C
- b)(A – B) ∪(A – C)
- c)(A + B)∩C
- d)(A – B) ∩ (A – C)
Correct answer is option 'D'. Can you explain this answer?
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Verified Answer
If A , B and C are any three sets , then A – (B∪C) is equal ...
According to De'Morgan's Law;
A-(BUC) = (A-B)∩(A-C)
A-(BUC) = (A-B)∩(A-C)
Most Upvoted Answer
If A , B and C are any three sets , then A – (B∪C) is equal ...
Is a subset of its union with B and C.
This can be written as:
A ⊆ (A ∪ B ∪ C)
This means that every element in A is also in the set (A ∪ B ∪ C), which is the combination of A, B, and C.
For example, let A = {1, 2} , B = {2, 3} , and C = {3, 4}.
Then A ∪ B ∪ C = {1, 2, 3, 4}.
Since A = {1, 2} and every element in A is also in {1, 2, 3, 4}, we can say that A is a subset of (A ∪ B ∪ C).
Therefore, A ⊆ (A ∪ B ∪ C).
This can be written as:
A ⊆ (A ∪ B ∪ C)
This means that every element in A is also in the set (A ∪ B ∪ C), which is the combination of A, B, and C.
For example, let A = {1, 2} , B = {2, 3} , and C = {3, 4}.
Then A ∪ B ∪ C = {1, 2, 3, 4}.
Since A = {1, 2} and every element in A is also in {1, 2, 3, 4}, we can say that A is a subset of (A ∪ B ∪ C).
Therefore, A ⊆ (A ∪ B ∪ C).
Community Answer
If A , B and C are any three sets , then A – (B∪C) is equal ...
A-(BUC)
(BUC) = all elements of B&C
Then,
A-(all elements of B&C) = (A-B)n(A-C)
(BUC) = all elements of B&C
Then,
A-(all elements of B&C) = (A-B)n(A-C)
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If A , B and C are any three sets , then A – (B∪C) is equal toa)(A – B)∩Cb)(A – B)∪(A – C)c)(A + B)∩Cd)(A – B)∩(A – C)Correct answer is option 'D'. Can you explain this answer?
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If A , B and C are any three sets , then A – (B∪C) is equal toa)(A – B)∩Cb)(A – B)∪(A – C)c)(A + B)∩Cd)(A – B)∩(A – C)Correct answer is option 'D'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about If A , B and C are any three sets , then A – (B∪C) is equal toa)(A – B)∩Cb)(A – B)∪(A – C)c)(A + B)∩Cd)(A – B)∩(A – C)Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If A , B and C are any three sets , then A – (B∪C) is equal toa)(A – B)∩Cb)(A – B)∪(A – C)c)(A + B)∩Cd)(A – B)∩(A – C)Correct answer is option 'D'. Can you explain this answer?.
If A , B and C are any three sets , then A – (B∪C) is equal toa)(A – B)∩Cb)(A – B)∪(A – C)c)(A + B)∩Cd)(A – B)∩(A – C)Correct answer is option 'D'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about If A , B and C are any three sets , then A – (B∪C) is equal toa)(A – B)∩Cb)(A – B)∪(A – C)c)(A + B)∩Cd)(A – B)∩(A – C)Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If A , B and C are any three sets , then A – (B∪C) is equal toa)(A – B)∩Cb)(A – B)∪(A – C)c)(A + B)∩Cd)(A – B)∩(A – C)Correct answer is option 'D'. Can you explain this answer?.
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