If P = {2, 3, 5, 7} and Q = {1, 2, 3, 4, 5, 6, 7}, which statement is correct?
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Answer and explanation
Correct answer: P ⊆ Q
To test whether P is a subset of Q, check every element of P. The elements 2, 3, 5, and 7 all occur in Q, so every element of P belongs to Q. Hence P ⊆ Q. The reverse relation Q ⊆ P is false because Q contains 1, 4, and 6, which are absent from P. The two sets are therefore not equal, and 1 is not an element of P.
Frequently asked questions
What is the correct answer to this question?
P ⊆ Q
Why is this the correct answer?
To test whether P is a subset of Q, check every element of P. The elements 2, 3, 5, and 7 all occur in Q, so every element of P belongs to Q. Hence P ⊆ Q. The reverse relation Q ⊆ P is false because Q contains 1, 4, and 6, which are absent from P. The two sets are therefore not equal, and 1 is not an element of P.
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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