How many elements are in A = {x : x is a positive multiple of 3 less than 15}?
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Answer and explanation
Correct answer: 4
The positive multiples of 3 that are less than 15 are 3, 6, 9, and 12. The number 15 is excluded because the condition says less than 15, not less than or equal to 15. Therefore, A = {3, 6, 9, 12}, which has four elements. The set is finite because this list ends after a limited number of values.
Frequently asked questions
What is the correct answer to this question?
4
Why is this the correct answer?
The positive multiples of 3 that are less than 15 are 3, 6, 9, and 12. The number 15 is excluded because the condition says less than 15, not less than or equal to 15. Therefore, A = {3, 6, 9, 12}, which has four elements. The set is finite because this list ends after a limited number of values.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: The Empty Set, Finite and Infinite Sets, Equal Sets.
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