If A = {x : x is a positive multiple of 5 and x < 30} and B = {5,10,15,20,25}, what is the relation between A and B?
Answer and explanation
Correct answer: A = B
The positive multiples of 5 are 5, 10, 15, 20, 25, 30, and so on. The strict condition x < 30 excludes 30, leaving exactly 5, 10, 15, 20, and 25. These are precisely the elements listed in B. Therefore A and B contain the same elements, so A = B. Option B wrongly includes the boundary value 30; options C and D do not describe the actual relationship.
Frequently asked questions
What is the correct answer to this question?
A = B
Why is this the correct answer?
The positive multiples of 5 are 5, 10, 15, 20, 25, 30, and so on. The strict condition x < 30 excludes 30, leaving exactly 5, 10, 15, 20, and 25. These are precisely the elements listed in B. Therefore A and B contain the same elements, so A = B. Option B wrongly includes the boundary value 30; options C and D do not describe the actual relationship.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Equal sets and Subsets.
