If A = {x : x is an even prime and x < 10}, which set is equal to A?
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Answer and explanation
Correct answer: {2}
An element of A must satisfy both conditions: it must be even and it must be prime, while also being less than 10. The only even prime number is 2, and 2 is less than 10. The numbers 4, 6, and 8 are even but composite; 3, 5, and 7 are prime but odd. Therefore A contains only 2, so A = {2}. Option A is correct.
Frequently asked questions
What is the correct answer to this question?
{2}
Why is this the correct answer?
An element of A must satisfy both conditions: it must be even and it must be prime, while also being less than 10. The only even prime number is 2, and 2 is less than 10. The numbers 4, 6, and 8 are even but composite; 3, 5, and 7 are prime but odd. Therefore A contains only 2, so A = {2}. Option A is correct.
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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