Which statement justifies {1} ⊆ {1, 2}?
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Answer and explanation
Correct answer: Because 1 is in {1, 2}
A set X is a subset of a set Y when every element of X is also an element of Y. The set {1} has only one element, namely 1, and 1 belongs to {1, 2}. Therefore {1} ⊆ {1, 2}. The sets are not equal because the second set also contains 2, and {1} is not empty.
Frequently asked questions
What is the correct answer to this question?
Because 1 is in {1, 2}
Why is this the correct answer?
A set X is a subset of a set Y when every element of X is also an element of Y. The set {1} has only one element, namely 1, and 1 belongs to {1, 2}. Therefore {1} ⊆ {1, 2}. The sets are not equal because the second set also contains 2, and {1} is not empty.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Equal sets and Subsets.
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