Which is the correct roster form of L = {x : x is a two-digit prime number and x < 15}?
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Answer and explanation
Correct answer: {11, 13}
A two-digit number is at least 10, and the condition x < 15 restricts the possible numbers to 10, 11, 12, 13, and 14. Among these, only 11 and 13 are prime: 10, 12, and 14 are composite because they have factors other than 1 and themselves. Therefore L = {11, 13}, so option C is correct.
Frequently asked questions
What is the correct answer to this question?
{11, 13}
Why is this the correct answer?
A two-digit number is at least 10, and the condition x < 15 restricts the possible numbers to 10, 11, 12, 13, and 14. Among these, only 11 and 13 are prime: 10, 12, and 14 are composite because they have factors other than 1 and themselves. Therefore L = {11, 13}, so option C is correct.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Sets and their representations.
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