If A = {p, q, r} and B = {q, r, s}, how are A and B related?
Answer and explanation
Correct answer: Unequal sets
Two sets are equal only when every element of the first set is also an element of the second set, and vice versa. Here, A contains p but B does not contain p. Similarly, B contains s but A does not contain s. Although q and r are common to both sets, the different elements p and s show that A and B are unequal sets. Therefore, option B is correct.
Frequently asked questions
What is the correct answer to this question?
Unequal sets
Why is this the correct answer?
Two sets are equal only when every element of the first set is also an element of the second set, and vice versa. Here, A contains p but B does not contain p. Similarly, B contains s but A does not contain s. Although q and r are common to both sets, the different elements p and s show that A and B are unequal sets. Therefore, option B is correct.
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.
