Which set is a subset of ℤ, the set of integers?
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Answer and explanation
Correct answer: {-2, 0, 5}
The symbol ℤ denotes the set of all integers: ..., -2, -1, 0, 1, 2, 3, .... A set is a subset of ℤ only when every one of its elements is an integer. The elements -2, 0, and 5 are all integers, so {-2, 0, 5} is a subset of ℤ. The other choices contain a fraction, an irrational number, or a non-integer decimal.
Frequently asked questions
What is the correct answer to this question?
{-2, 0, 5}
Why is this the correct answer?
The symbol ℤ denotes the set of all integers: ..., -2, -1, 0, 1, 2, 3, .... A set is a subset of ℤ only when every one of its elements is an integer. The elements -2, 0, and 5 are all integers, so {-2, 0, 5} is a subset of ℤ. The other choices contain a fraction, an irrational number, or a non-integer decimal.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Power Set and Subsets.
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