If A = {x : x is a positive multiple of 5 less than 20} and B = {5, 10, 15}, which relation is correct?
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Answer and explanation
Correct answer: A = B
The positive multiples of 5 that are less than 20 are 5, 10, and 15. The number 20 is excluded because the condition says less than 20, not less than or equal to 20. Hence A = {5, 10, 15}. This is exactly the set B, so A = B. Equal sets must have the same elements, even if they are described in different forms.
Frequently asked questions
What is the correct answer to this question?
A = B
Why is this the correct answer?
The positive multiples of 5 that are less than 20 are 5, 10, and 15. The number 20 is excluded because the condition says less than 20, not less than or equal to 20. Hence A = {5, 10, 15}. This is exactly the set B, so A = B. Equal sets must have the same elements, even if they are described in different forms.
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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