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For a set A, consider the following statements
1. A ∪ P(A) = P(A)
2. {A} ∩ P(A)=A
3. P(A) - {A} = P{A}
where P denotes power set.
Which of the statements given above is/are correct?
1. A ∪ P(A) = P(A)
2. {A} ∩ P(A)=A
3. P(A) - {A} = P{A}
where P denotes power set.
Which of the statements given above is/are correct?
- a)I only
- b)II only
- c)III only
- d)I, II and III
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
For a set A, consider the following statements1. A ∪ P(A) = P(A)2....
Let A = {1,2} and {A} = {(1,2)} implies,P(A) = {{1}, {2},.{1,2}, φ}
Then, A ∪ P(A) ≠ P(A)
and{A} ∩ P(A) = {{ l , 2}} ∩ {{1}, {2}, {1,2},φ}
= {1,2}=A
Then, A ∪ P(A) ≠ P(A)
and{A} ∩ P(A) = {{ l , 2}} ∩ {{1}, {2}, {1,2},φ}
= {1,2}=A
Most Upvoted Answer
For a set A, consider the following statements1. A ∪ P(A) = P(A)2....
Let A = {1,2} and {A} = {(1,2)} implies,P(A) = {{1}, {2},.{1,2}, φ}
Then, A ∪ P(A) ≠ P(A)
and{A} ∩ P(A) = {{ l , 2}} ∩ {{1}, {2}, {1,2},φ}
= {1,2}=A
Then, A ∪ P(A) ≠ P(A)
and{A} ∩ P(A) = {{ l , 2}} ∩ {{1}, {2}, {1,2},φ}
= {1,2}=A
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Community Answer
For a set A, consider the following statements1. A ∪ P(A) = P(A)2....
Is a collection of elements.
2. The elements in A are distinct.
3. A has a specific order.
4. A can be finite or infinite in size.
5. A can be empty.
6. The elements in A can be of any type.
2. The elements in A are distinct.
3. A has a specific order.
4. A can be finite or infinite in size.
5. A can be empty.
6. The elements in A can be of any type.
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For a set A, consider the following statements1. A ∪ P(A) = P(A)2. {A} ∩ P(A)=A3. P(A) - {A} = P{A}where P denotes power set.Which of the statements given above is/are correct?a)I onlyb)II onlyc)III onlyd)I, II and IIICorrect answer is option 'B'. Can you explain this answer?
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For a set A, consider the following statements1. A ∪ P(A) = P(A)2. {A} ∩ P(A)=A3. P(A) - {A} = P{A}where P denotes power set.Which of the statements given above is/are correct?a)I onlyb)II onlyc)III onlyd)I, II and IIICorrect answer is option 'B'. Can you explain this answer? for Mathematics 2024 is part of Mathematics preparation. The Question and answers have been prepared according to the Mathematics exam syllabus. Information about For a set A, consider the following statements1. A ∪ P(A) = P(A)2. {A} ∩ P(A)=A3. P(A) - {A} = P{A}where P denotes power set.Which of the statements given above is/are correct?a)I onlyb)II onlyc)III onlyd)I, II and IIICorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Mathematics 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for For a set A, consider the following statements1. A ∪ P(A) = P(A)2. {A} ∩ P(A)=A3. P(A) - {A} = P{A}where P denotes power set.Which of the statements given above is/are correct?a)I onlyb)II onlyc)III onlyd)I, II and IIICorrect answer is option 'B'. Can you explain this answer?.
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