For A = {a, b}, which option is not a subset of A?
Answer and explanation
Correct answer: {a, c}
A subset may contain only elements that occur in the original set A. The empty set is a subset of every set, {a} contains an element of A, and {a, b} is A itself; therefore all three are subsets of A. Option D contains c, but c is not an element of A. Since even one outside element is enough to fail the subset condition, {a, c} is not a subset.
Frequently asked questions
What is the correct answer to this question?
{a, c}
Why is this the correct answer?
A subset may contain only elements that occur in the original set A. The empty set is a subset of every set, {a} contains an element of A, and {a, b} is A itself; therefore all three are subsets of A. Option D contains c, but c is not an element of A. Since even one outside element is enough to fail the subset condition, {a, c} is not a subset.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Equal sets and Subsets.