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If P = {1, 3, 5, 7} and Q is the set of positive odd numbers less than 8, which statement is correct?

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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.

Tags

setsequal-setsodd-numbersThe Empty SetFinite and Infinite SetsEqual Setsthe empty set finite and infinite sets equal setsMathematicsClass 10 MCQ

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.

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