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Which of the following is a subset of set {1, 2, 3, 4}?
- a)All of the mentioned
- b){1, 2}
- c){1, 2, 3}
- d){1}
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
Which of the following is a subset of set {1, 2, 3, 4}?a)All of the me...
The subset of set (1, 2, 3, 4} is {1, 2}, {1, 2, 3}, and {1}.
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Which of the following is a subset of set {1, 2, 3, 4}?a)All of the me...
Explanation:
The given set is {1, 2, 3, 4}. We need to determine which of the following sets are subsets of this given set.
Option a) All of the mentioned:
This option states that all the mentioned sets {1, 2}, {1, 2, 3}, and {1} are subsets of the given set {1, 2, 3, 4}. Let's check each set one by one.
- Set {1, 2}: All the elements of this set, i.e., 1 and 2, are present in the given set {1, 2, 3, 4}. Therefore, this set is a subset of the given set.
- Set {1, 2, 3}: All the elements of this set, i.e., 1, 2, and 3, are present in the given set {1, 2, 3, 4}. Therefore, this set is a subset of the given set.
- Set {1}: The element 1 is present in the given set {1, 2, 3, 4}. Therefore, this set is a subset of the given set.
Since all the mentioned sets are subsets of the given set, option a) is correct.
Option b) {1, 2}:
This option states that the set {1, 2} is a subset of the given set {1, 2, 3, 4}. As discussed earlier, this set is indeed a subset of the given set. Therefore, option b) is correct.
Option c) {1, 2, 3}:
This option states that the set {1, 2, 3} is a subset of the given set {1, 2, 3, 4}. As discussed earlier, this set is indeed a subset of the given set. Therefore, option c) is correct.
Option d) {1}:
This option states that the set {1} is a subset of the given set {1, 2, 3, 4}. As discussed earlier, this set is indeed a subset of the given set. Therefore, option d) is correct.
Therefore, the correct answer is option a) All of the mentioned.
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