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If the universal set U = {1, 2, 3, 4, 5} and set A = {1, 2}, what is the complement of A?
- a){3, 4, 5}
- b){1, 5}
- c){2, 3}
- d){1, 2}
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
If the universal set U = {1, 2, 3, 4, 5} and set A = {1, 2}, what is t...
The complement of A, denoted A', is the set of all elements in U that are not in A. Therefore, A' = {3, 4, 5}.
Community Answer
If the universal set U = {1, 2, 3, 4, 5} and set A = {1, 2}, what is t...
Understanding the Universal Set and Set A
The universal set U is defined as {1, 2, 3, 4, 5}. This means it contains all the elements under consideration. Set A is defined as {1, 2}, which is a subset of U.
What is the Complement of a Set?
The complement of a set A, denoted as A', consists of all the elements in the universal set U that are not in A. In simple terms, it includes every element in U that does not belong to A.
Finding the Complement of Set A
To find the complement of A:
- Identify elements in U: {1, 2, 3, 4, 5}
- Identify elements in A: {1, 2}
- Subtract elements of A from U:
- Start with U: 1, 2, 3, 4, 5
- Remove elements of A (1 and 2):
This leaves us with the elements {3, 4, 5}.
Conclusion
Therefore, the complement of set A, or A', is {3, 4, 5}.
Correct Answer
The correct answer is option 'A': {3, 4, 5}. This set includes all elements from the universal set that are not in set A.
This understanding of set complements is essential in set theory and helps to clarify relationships between different sets.
The universal set U is defined as {1, 2, 3, 4, 5}. This means it contains all the elements under consideration. Set A is defined as {1, 2}, which is a subset of U.
What is the Complement of a Set?
The complement of a set A, denoted as A', consists of all the elements in the universal set U that are not in A. In simple terms, it includes every element in U that does not belong to A.
Finding the Complement of Set A
To find the complement of A:
- Identify elements in U: {1, 2, 3, 4, 5}
- Identify elements in A: {1, 2}
- Subtract elements of A from U:
- Start with U: 1, 2, 3, 4, 5
- Remove elements of A (1 and 2):
This leaves us with the elements {3, 4, 5}.
Conclusion
Therefore, the complement of set A, or A', is {3, 4, 5}.
Correct Answer
The correct answer is option 'A': {3, 4, 5}. This set includes all elements from the universal set that are not in set A.
This understanding of set complements is essential in set theory and helps to clarify relationships between different sets.
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If the universal set U = {1, 2, 3, 4, 5} and set A = {1, 2}, what is the complement of A?a) {3, 4, 5}b) {1, 5}c) {2, 3}d) {1, 2}Correct answer is option 'A'. Can you explain this answer? for Class 8 2026 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about If the universal set U = {1, 2, 3, 4, 5} and set A = {1, 2}, what is the complement of A?a) {3, 4, 5}b) {1, 5}c) {2, 3}d) {1, 2}Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Class 8 2026 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If the universal set U = {1, 2, 3, 4, 5} and set A = {1, 2}, what is the complement of A?a) {3, 4, 5}b) {1, 5}c) {2, 3}d) {1, 2}Correct answer is option 'A'. Can you explain this answer?.
If the universal set U = {1, 2, 3, 4, 5} and set A = {1, 2}, what is the complement of A?a) {3, 4, 5}b) {1, 5}c) {2, 3}d) {1, 2}Correct answer is option 'A'. Can you explain this answer? for Class 8 2026 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about If the universal set U = {1, 2, 3, 4, 5} and set A = {1, 2}, what is the complement of A?a) {3, 4, 5}b) {1, 5}c) {2, 3}d) {1, 2}Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Class 8 2026 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If the universal set U = {1, 2, 3, 4, 5} and set A = {1, 2}, what is the complement of A?a) {3, 4, 5}b) {1, 5}c) {2, 3}d) {1, 2}Correct answer is option 'A'. Can you explain this answer?.
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