If P = {1, 3, 5, 7} and Q is the set of positive odd numbers less than 8, which statement is correct?
Answer and explanation
Correct answer: P = Q
The positive odd numbers less than 8 are obtained by checking 1, 2, 3, 4, 5, 6, and 7: they are 1, 3, 5, and 7. Thus Q = {1, 3, 5, 7}, which is exactly the set P. Since sets are equal when they contain the same elements, P = Q. Q is finite, not infinite.
Frequently asked questions
What is the correct answer to this question?
P = Q
Why is this the correct answer?
The positive odd numbers less than 8 are obtained by checking 1, 2, 3, 4, 5, 6, and 7: they are 1, 3, 5, and 7. Thus Q = {1, 3, 5, 7}, which is exactly the set P. Since sets are equal when they contain the same elements, P = Q. Q is finite, not infinite.
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.