If A = {x ∈ R : 1 < x ≤ 6}, which of the following is a subset of A?
Answer and explanation
Correct answer: {2, 4, 6}
The set A contains all real numbers greater than 1 and less than or equal to 6. For a proposed set to be a subset of A, every one of its elements must satisfy both conditions. In {2, 4, 6}, all elements are greater than 1 and 6 is allowed because the upper inequality is inclusive. The other choices contain 1, 0, or 7, which are outside A.
Frequently asked questions
What is the correct answer to this question?
{2, 4, 6}
Why is this the correct answer?
The set A contains all real numbers greater than 1 and less than or equal to 6. For a proposed set to be a subset of A, every one of its elements must satisfy both conditions. In {2, 4, 6}, all elements are greater than 1 and 6 is allowed because the upper inequality is inclusive. The other choices contain 1, 0, or 7, which are outside A.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Power Set and Subsets.
