Which statement is correct for E = {p, q, r, s}?
Answer and explanation
Correct answer: s ∈ E
The governing concept is set membership and cardinality. In roster form, every symbol written inside braces is an element of the set, so E contains p, q, r and s. Hence n(E) = 4, not 3, and s ∈ E is true. The statement p ∉ E is false because p is listed, while t ∈ E is false because t does not appear. Therefore option C is correct.
Frequently asked questions
What is the correct answer to this question?
s ∈ E
Why is this the correct answer?
The governing concept is set membership and cardinality. In roster form, every symbol written inside braces is an element of the set, so E contains p, q, r and s. Hence n(E) = 4, not 3, and s ∈ E is true. The statement p ∉ E is false because p is listed, while t ∈ E is false because t does not appear. Therefore option C is correct.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Number Systems.
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