Which option correctly explains (\mathbb{Q}\subseteq \mathbb{R})?
Answer and explanation
Correct answer: Every rational number is a real number
The symbol \mathbb{Q} denotes the set of rational numbers, while \mathbb{R} denotes the set of all real numbers. Every rational number can be written as p/q, where p and q are integers and q is not zero, and every such number lies on the real number line. Therefore, \mathbb{Q} is a subset of \mathbb{R}. The reverse statement is false because numbers such as √2 and π are real but irrational.
Frequently asked questions
What is the correct answer to this question?
Every rational number is a real number
Why is this the correct answer?
The symbol \mathbb{Q} denotes the set of rational numbers, while \mathbb{R} denotes the set of all real numbers. Every rational number can be written as p/q, where p and q are integers and q is not zero, and every such number lies on the real number line. Therefore, \mathbb{Q} is a subset of \mathbb{R}. The reverse statement is false because numbers such as √2 and π are real but irrational.
Which subject and chapter does this question cover?
This is a Class 12 Mathematics question. Chapter: Sets.
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