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Which of the following is not correct?...

Which of the following is not correct?

A

`N subR`

B

`NsubQ`

C

`QsubR`

D

`NsubT`

Text Solution

AI Generated Solution

The correct Answer is:
To determine which of the statements is not correct, we will analyze each option step by step. ### Step 1: Understand the Sets Involved - **Natural Numbers (N)**: The set of positive integers starting from 1, i.e., N = {1, 2, 3, ...}. - **Rational Numbers (Q)**: The set of numbers that can be expressed as the quotient of two integers, where the denominator is not zero. - **Real Numbers (R)**: The set of all numbers that can be found on the number line, including both rational and irrational numbers. ### Step 2: Analyze Each Statement 1. **Statement A**: N is a subset of R. - **True**: All natural numbers are real numbers. 2. **Statement B**: N is a subset of Q. - **True**: All natural numbers can be expressed as fractions (e.g., 1 = 1/1), so they are rational numbers. 3. **Statement C**: Q is a subset of R. - **True**: All rational numbers are real numbers. 4. **Statement D**: N is a subset of T (where T is not defined in the question). - **False**: Without knowing what T represents, we cannot confirm that natural numbers are a subset of T. Thus, this statement is likely incorrect. ### Conclusion Based on the analysis, the statement that is not correct is **Statement D**. ### Final Answer The answer is **Statement D** is not correct. ---
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