Let V be the set of alphabet letters and S = {a, e, i, o, u}. Which statement is correct?
Answer and explanation
Correct answer: S ⊆ V
Each member of S—namely a, e, i, o, and u—is an alphabet letter, so each one belongs to V. Therefore S ⊆ V. The reverse statement V ⊆ S is false because V also contains consonants and possibly other letters. S is not equal to V for the same reason, and a ∉ V is false because a is explicitly an alphabet letter.
Frequently asked questions
What is the correct answer to this question?
S ⊆ V
Why is this the correct answer?
Each member of S—namely a, e, i, o, and u—is an alphabet letter, so each one belongs to V. Therefore S ⊆ V. The reverse statement V ⊆ S is false because V also contains consonants and possibly other letters. S is not equal to V for the same reason, and a ∉ V is false because a is explicitly an alphabet letter.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Equal sets and Subsets.